<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg1.png" alt="Pré-visualização de imagem de arquivo"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Livro Eletrônico</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">Aula 06</div><div class="t m0 x3 h3 y3 ff1 fs1 fc1 sc0 ls0 ws0">Matemática p/ PETROBRAS (Nível médio)</div><div class="t m0 x3 h4 y4 ff2 fs1 fc1 sc0 ls0 ws0">Professor: Arthur Lima</div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x5 y6 w2 h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg2.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 hf y13 ff6 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x13 h10 y14 ff7 fs3 fc3 sc0 ls0 ws0">A<span class="blank _0"></span>UL<span class="blank _1"> </span>A<span class="blank _0"></span> 06: G<span class="blank _1"> </span>EOMETRIA </div><div class="t m1 x10 h10 y15 ff7 fs3 fc6 sc0 ls0 ws0"> </div><div class="t m1 x14 h10 y16 ff7 fs3 fc3 sc0 ls0 ws0">SUMÁRIO <span class="blank _2"> </span>PÁGINA </div><div class="t m1 x10 h11 y17 ff8 fs3 fc3 sc0 ls0 ws0">1. Teoria <span class="blank _3"> </span>01 </div><div class="t m1 x10 h11 y18 ff8 fs3 fc3 sc0 ls0 ws0">2. Resolução de questões <span class="blank _4"> </span><span class="v1">45 </span></div><div class="t m1 x10 h11 y19 ff8 fs3 fc3 sc0 ls0 ws0">3. Lista das questões apresentada<span class="blank _1"> </span>s na aula <span class="blank _5"> </span>113 </div><div class="t m1 x10 h11 y1a ff8 fs3 fc3 sc0 ls0 ws0">4. Gabarito <span class="blank _6"> </span>137 </div><div class="t m1 x10 h11 y1b ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y1c ff8 fs3 fc3 sc0 ls0 ws0">Olá! </div><div class="t m1 x15 h11 y1d ff8 fs3 fc3 sc0 ls0 ws0">Seja <span class="blank _7"> </span>bem <span class="blank _7"> </span>vindo <span class="blank _8"> </span>à <span class="blank _8"> </span>n<span class="blank _1"> </span>ossa <span class="blank _8"> </span>sexta <span class="blank _8"> </span>a<span class="blank _1"> </span>ula. <span class="blank _8"> </span>Hoje <span class="blank _8"> </span>vamos<span class="blank _1"> </span> <span class="blank _8"> </span>trabalhar <span class="blank _7"> </span>o <span class="blank _8"> </span>conte<span class="blank _1"> </span>údo <span class="blank _8"> </span>de </div><div class="t m1 x10 h11 y1e ff8 fs3 fc3 sc0 ls0 ws0">Geometria do seu edital: </div><div class="t m1 x15 h11 y1f ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h12 y20 ff9 fs3 fc3 sc0 ls0 ws0">Geometria Plana: Áreas e Pe<span class="blank _1"> </span>rímetros. Geometria Espacial: Áreas e Volumes. </div><div class="t m1 x15 h11 y21 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h11 y22 ff8 fs3 fc3 sc0 ls0 ws0">São <span class="blank _9"> </span>conteúdos <span class="blank _9"> </span>bastante <span class="blank _9"> </span>ex<span class="blank _0"></span>tensos, <span class="blank _9"> </span>motivo <span class="blank _9"> </span>pelo <span class="blank _9"> </span>qual <span class="blank _a"> </span>precisaremos <span class="blank _a"> </span>ser <span class="blank _9"> </span>ainda </div><div class="t m1 x10 h11 y23 ff8 fs3 fc3 sc0 ls0 ws0">mais <span class="blank _8"> </span>objetivos. <span class="blank _b"> </span>Procure <span class="blank _b"> </span>t<span class="blank _1"> </span>entar <span class="blank _b"> </span>entende<span class="blank _1"> </span>r <span class="blank _b"> </span>e <span class="blank _b"> </span>visualizar <span class="blank _b"> </span>o<span class="blank _1"> </span>s <span class="blank _b"> </span>assunto<span class="blank _1"> </span>s <span class="blank _b"> </span>tratados: <span class="blank _b"> </span>quanto </div><div class="t m1 x10 h11 y24 ff8 fs3 fc3 sc0 ls0 ws0">mais você entender, meno<span class="blank _1"> </span>s fórmulas precisará decorar! </div><div class="t m1 x15 h11 y25 ff8 fs3 fc3 sc0 ls0 ws0"> Sem demora, vamos come<span class="blank _1"> </span>çar. Uma boa aula pra todos nós! </div><div class="t m1 x10 h10 y26 ff7 fs3 fc7 sc0 ls0 ws0"> </div><div class="t m1 x10 h10 y27 ff7 fs3 fc7 sc0 ls0 ws0">1. TEORI<span class="blank _1"> </span>A<span class="blank _0"></span>: </div><div class="t m1 x10 h10 y28 ff7 fs3 fc7 sc0 ls0 ws0">1.1 <span class="blank _1"> </span>Â<span class="blank _0"></span>ngulos: </div><div class="t m1 x10 h11 y29 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Ângulo <span class="blank _d"> </span>é <span class="blank _d"> </span>a <span class="blank _d"> </span>medida <span class="blank _d"> </span>de<span class="blank _0"></span> <span class="blank _d"> </span>uma <span class="blank _d"> </span>abertura <span class="blank _d"> </span>deli<span class="blank _0"></span>mitada <span class="blank _d"> </span>por <span class="blank _d"> </span>duas <span class="blank _d"> </span>semi-retas. <span class="blank _d"> </span>Veja <span class="blank _d"> </span>na<span class="blank _0"></span> </div><div class="t m1 x10 h11 y2a ff8 fs3 fc3 sc0 ls0 ws0">figura <span class="blank _e"> </span>abaixo <span class="blank _e"> </span>o <span class="blank _f"> </span>ângulo <span class="blank _f"> </span>A<span class="blank _1"> </span>, <span class="blank _f"> </span>que <span class="blank _e"> </span>é <span class="blank _f"> </span>a <span class="blank _e"> </span>abe<span class="blank _1"> </span>rtura <span class="blank _f"> </span>delimitada <span class="blank _e"> </span>pelas <span class="blank _f"> </span>duas <span class="blank _e"> </span>sem<span class="blank _1"> </span>i-retas </div><div class="t m1 x10 h11 y2b ff8 fs3 fc3 sc0 ls0 ws0">desenhadas: </div><div class="t m1 x16 h11 y2c ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y2d ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>O <span class="blank _10"> </span>ponto <span class="blank _10"> </span>desenhado <span class="blank _10"> </span>acima <span class="blank _10"> </span>no <span class="blank _10"> </span>encontro <span class="blank _10"> </span>entre <span class="blank _10"> </span>as <span class="blank _10"> </span>duas <span class="blank _10"> </span>semi-retas <span class="blank _10"> </span>é<span class="blank _0"></span> </div><div class="t m1 x10 h11 y2e ff8 fs3 fc3 sc0 ls0 ws0">denominado Vértice do ân<span class="blank _1"> </span>gulo. </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 wa h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg3.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Um ângulo é <span class="blank _11"> </span>medido de acor<span class="blank _0"></span>do com <span class="blank _11"> </span>a sua abertura. Di<span class="blank _0"></span>zemos q<span class="blank _0"></span>ue uma<span class="blank _0"></span> </div><div class="t m1 x10 h11 y2f ff8 fs3 fc3 sc0 ls0 ws0">abertura <span class="blank _1"> </span>completa <span class="blank _12"> </span>(isto <span class="blank _1"> </span>é, <span class="blank _1"> </span>uma <span class="blank _1"> </span>volta <span class="blank _1"> </span>completa), <span class="blank _1"> </span>como <span class="blank _1"> </span>a <span class="blank _1"> </span>vista <span class="blank _1"> </span>na <span class="blank _1"> </span>figura <span class="blank _12"> </span>abaixo, <span class="blank _1"> </span>mede </div><div class="t m1 x10 h11 y30 ff8 fs3 fc3 sc0 ls0 ws0">360 graus (360º): </div><div class="t m1 x17 h11 y31 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y32 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Assim, <span class="blank _9"> </span>aberturas <span class="blank _9"> </span>inferiores <span class="blank _9"> </span>a <span class="blank _a"> </span>u<span class="blank _1"> </span>ma <span class="blank _a"> </span>volta <span class="blank _9"> </span>completa<span class="blank _1"> </span> <span class="blank _a"> </span>medirão <span class="blank _9"> </span>valores <span class="blank _9"> </span>entre <span class="blank _9"> </span>0 <span class="blank _a"> </span>e </div><div class="t m1 x10 h11 y33 ff8 fs3 fc3 sc0 ls0 ws0">360 graus. Veja um exem<span class="blank _1"> </span>plo: </div><div class="t m1 x16 h11 y34 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y35 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>O ângulo da figura acima mede 30 graus, que e<span class="blank _1"> </span>quivale a 1/12 de 360 graus. </div><div class="t m1 x10 h11 y36 ff8 fs3 fc3 sc0 ls0 ws0">Portanto, a soma de 12 ân<span class="blank _1"> </span>gulos iguais a este equivale a uma volta completa (360º). </div><div class="t m1 x10 h11 y37 ff8 fs3 fc3 sc0 ls0 ws0">É importante você conhecer a<span class="blank _1"> </span>lguns ângulos muito comuns. </div><div class="t m1 x15 h11 y38 ff8 fs3 fc3 sc0 ls0 ws0">Como <span class="blank _b"> </span>360</div><div class="t m4 x18 h13 y39 ff8 fs6 fc3 sc0 ls0 ws0">o </div><div class="t m1 x19 h11 y3a ff8 fs3 fc3 sc0 ls0 ws0">representam <span class="blank _b"> </span>uma <span class="blank _b"> </span>v<span class="blank _0"></span>olta <span class="blank _b"> </span>completa, <span class="blank _9"> </span>1<span class="blank _1"> </span>80</div><div class="t m4 x1a h13 y39 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x1b h11 y3a ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _b"> </span>representam <span class="blank _9"> </span>m<span class="blank _1"> </span>eia-volta, </div><div class="t m1 x10 h11 y3b ff8 fs3 fc3 sc0 ls0 ws0">como você pode ver abaixo: </div><div class="t m5 x1c h14 y3c ff5 fs7 fc3 sc0 ls0 ws6"></div><div class="t m5 xf h15 y3d ff5 fs8 fc3 sc0 ls0"></div><div class="t m1 x1d h11 y3e ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y3f ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Por <span class="blank _9"> </span>sua<span class="blank _1"> </span> <span class="blank _9"> </span>vez, <span class="blank _a"> </span>9<span class="blank _1"> </span>0</div><div class="t m4 x1e h13 y40 ff8 fs6 fc3 sc0 ls0 ws0">o </div><div class="t m1 x1f h11 y41 ff8 fs3 fc3 sc0 ls0 ws0">represe<span class="blank _1"> </span>nta <span class="blank _9"> </span>metade <span class="blank _9"> </span>d<span class="blank _1"> </span>e <span class="blank _a"> </span>m<span class="blank _1"> </span>eia-volta, <span class="blank _9"> </span>isto <span class="blank _9"> </span>é,<span class="blank _1"> </span> <span class="blank _9"> </span>¼ <span class="blank _9"> </span>de <span class="blank _b"> </span>volta. <span class="blank _9"> </span>Este </div><div class="t m1 x10 h11 y42 ff8 fs3 fc3 sc0 ls0 ws0">ângulo é conhecido como<span class="blank _1"> </span> ângulo reto, e tem uma representação bem característica: </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 wa h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg4.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x20 h11 y43 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h11 y44 ff8 fs3 fc3 sc0 ls0 ws0">Além do ângulo reto (90</div><div class="t m4 x21 h13 y45 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 xe h11 y44 ff8 fs3 fc3 sc0 ls0 ws0">), os ângulos podem ser classificados em<span class="blank _1"> </span>: </div><div class="t m1 x10 h11 y46 ff8 fs3 fc3 sc0 ls0 ws0">- Ângulos agudos: são aqueles ângulos <span class="blank _1"> </span>inferiores à 90</div><div class="t m4 x8 h13 y47 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x22 h11 y48 ff8 fs3 fc3 sc0 ls0 ws0">. Ex.: 30</div><div class="t m4 x23 h13 y47 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x24 h11 y48 ff8 fs3 fc3 sc0 ls0 ws0">, 45</div><div class="t m4 x25 h13 y47 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x26 h11 y48 ff8 fs3 fc3 sc0 ls0 ws0">, 60</div><div class="t m4 x17 h13 y47 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x27 h11 y48 ff8 fs3 fc3 sc0 ls0 ws0">. </div><div class="t m1 x10 h11 y49 ff8 fs3 fc3 sc0 ls0 ws0">- Ângulos obtusos: são aqueles ângulos s<span class="blank _1"> </span>uperiores à 90</div><div class="t m4 x28 h13 y4a ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x29 h11 y49 ff8 fs3 fc3 sc0 ls0 ws0">. Ex.: 100</div><div class="t m4 x2a h13 y4a ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x2b h11 y49 ff8 fs3 fc3 sc0 ls0 ws0">, 120</div><div class="t m4 x17 h13 y4a ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x2c h11 y49 ff8 fs3 fc3 sc0 ls0 ws0">, 140</div><div class="t m4 x2d h13 y4a ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x2e h11 y49 ff8 fs3 fc3 sc0 ls0 ws0">. </div><div class="t m1 x10 h11 y4b ff8 fs3 fc3 sc0 ls0 ws0">* os ângulos de 0 e 180</div><div class="t m4 x2f h13 y4c ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x11 h11 y4b ff8 fs3 fc3 sc0 ls0 ws0"> são denominados de <span class="ff9">ângulos rasos.</span> </div><div class="t m1 x10 h11 y4d ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Outra classificação de ângulos<span class="blank _1"> </span> que você precisa conhecer é: </div><div class="t m1 x10 h11 y4e ff8 fs3 fc3 sc0 ls0 ws0">- Ângulos congruentes: 2 <span class="blank _1"> </span>ângulos são congruentes se possuem a mesma medida </div><div class="t m1 x10 h11 y4f ff8 fs3 fc3 sc0 ls0 ws0">- Ângulos complementares: 2<span class="blank _1"> </span> ângulos são complementares se a sua soma é 90</div><div class="t m4 xa h13 y50 ff8 fs6 fc3 sc0 ls0 ws0">o </div><div class="t m1 x10 h11 y51 ff8 fs3 fc3 sc0 ls0 ws0">- Ângulos suplementares: <span class="blank _1"> </span>2 ângulos são suplementares se a sua soma é 180</div><div class="t m4 x30 h13 y52 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x2d h11 y51 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y53 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y54 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Um <span class="blank _10"> </span>ângulo <span class="blank _10"> </span>pode <span class="blank _10"> </span>ser <span class="blank _10"> </span>dividido <span class="blank _10"> </span>em<span class="blank _1"> </span> <span class="blank _10"> </span>duas <span class="blank _10"> </span>partes <span class="blank _10"> </span>iguais <span class="blank _10"> </span>pela <span class="blank _10"> </span>sem<span class="blank _1"> </span>i-reta </div><div class="t m1 x10 h11 y55 ff8 fs3 fc3 sc0 ls0 ws0">denominada Bisset<span class="blank _1"> </span>riz<span class="blank _0"></span>: </div><div class="t m1 x2a h11 y56 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y57 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Quando <span class="blank _b"> </span>duas <span class="blank _9"> </span>retas <span class="blank _b"> </span>se <span class="blank _9"> </span>cruzam, <span class="blank _9"> </span>fo<span class="blank _1"> </span>rmam-se <span class="blank _9"> </span>ângulo<span class="blank _1"> </span>s <span class="blank _9"> </span>interessantes, <span class="blank _b"> </span>que <span class="blank _9"> </span>você </div><div class="t m1 x10 h11 y58 ff8 fs3 fc3 sc0 ls0 ws0">também deve conhecer: </div><div class="t m1 x31 h11 y59 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y5a ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Note, <span class="blank _b"> </span>na <span class="blank _b"> </span>figura <span class="blank _b"> </span>a<span class="blank _1"> </span>cima, <span class="blank _b"> </span>q<span class="blank _0"></span>ue <span class="blank _b"> </span>o <span class="blank _b"> </span>vértice <span class="blank _b"> </span>dos <span class="blank _b"> </span>ân<span class="blank _1"> </span>gulos <span class="blank _b"> </span>A, <span class="blank _b"> </span>B, <span class="blank _b"> </span>C <span class="blank _b"> </span>e <span class="blank _b"> </span>D <span class="blank _b"> </span>é <span class="blank _b"> </span>o <span class="blank _b"> </span>m<span class="blank _1"> </span>esmo </div><div class="t m1 x10 h11 y5b ff8 fs3 fc3 sc0 ls0 ws0">(simbolizado <span class="blank _1"> </span>pe<span class="blank _1"> </span>lo <span class="blank _1"> </span>ponto). <span class="blank _1"> </span>Os <span class="blank _1"> </span>ângulos<span class="blank _1"> </span> <span class="blank _1"> </span>A <span class="blank _1"> </span>e <span class="blank _1"> </span>C <span class="blank _1"> </span>são<span class="blank _1"> </span> <span class="blank _1"> </span>denominados <span class="blank _1"> </span>ân<span class="blank _1"> </span>g<span class="blank _0"></span>ulos <span class="blank _1"> </span>opo<span class="blank _1"> </span>stos <span class="blank _1"> </span>pelo </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 wa h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg5.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0">vértice, <span class="blank _9"> </span>e <span class="blank _9"> </span>tem <span class="blank _b"> </span>o <span class="blank _a"> </span>mesmo <span class="blank _9"> </span>valor. <span class="blank _9"> </span>Da <span class="blank _9"> </span>m<span class="blank _1"> </span>esma <span class="blank _a"> </span>form<span class="blank _1"> </span>a, <span class="blank _9"> </span>os <span class="blank _9"> </span>ângulos <span class="blank _9"> </span>B <span class="blank _9"> </span>e <span class="blank _9"> </span>D <span class="blank _9"> </span>tem <span class="blank _b"> </span>o<span class="blank _0"></span> <span class="blank _9"> </span>mesmo </div><div class="t m1 x10 h11 y5c ff8 fs3 fc3 sc0 ls0 ws0">valor, pois também são oposto<span class="blank _1"> </span>s pelo v<span class="blank _0"></span>értice: </div><div class="t m1 x32 h11 y5d ff8 fs3 fc3 sc0 ls0 ws0">A = C </div><div class="t m1 x32 h11 y5e ff8 fs3 fc3 sc0 ls0 ws0">B = D </div><div class="t m1 x10 h11 y5f ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>A <span class="blank _b"> </span>so<span class="blank _0"></span>ma <span class="blank _9"> </span>d<span class="blank _1"> </span>os <span class="blank _9"> </span>ângulos <span class="blank _b"> </span>A <span class="blank _9"> </span>e <span class="blank _9"> </span>B<span class="blank _1"> </span> <span class="blank _9"> </span>é <span class="blank _b"> </span>de <span class="blank _9"> </span>180</div><div class="t m4 x33 h13 y60 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x34 h11 y61 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _9"> </span>(ou <span class="blank _b"> </span>seja, <span class="blank _9"> </span>são <span class="blank _b"> </span>s<span class="blank _0"></span>uplementares), <span class="blank _b"> </span>assi<span class="blank _0"></span>m </div><div class="t m1 x10 h11 y62 ff8 fs3 fc3 sc0 ls0 ws0">como a soma dos ângulos B e C, <span class="blank _1"> </span>C e D, e D e A. </div><div class="t m1 x10 h11 y63 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Da <span class="blank _12"> </span>mesma <span class="blank _12"> </span>f<span class="blank _1"> </span>orma, <span class="blank _12"> </span>quando <span class="blank _12"> </span>uma <span class="blank _d"> </span>reta <span class="blank _12"> </span>transversal <span class="blank _12"> </span>(simbolizada <span class="blank _12"> </span>p<span class="blank _1"> </span>or <span class="blank _12"> </span>“r” <span class="blank _1"> </span>na<span class="blank _1"> </span> <span class="blank _1"> </span>f<span class="blank _1"> </span>igura </div><div class="t m1 x10 h11 y64 ff8 fs3 fc3 sc0 ls0 ws0">abaixo) cruza duas retas paralelas (“x” e “y”), formam<span class="blank _1"> </span>-se ângulos interessantes: </div><div class="t m1 x35 h11 y65 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y66 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Note <span class="blank _d"> </span>que <span class="blank _12"> </span>os <span class="blank _d"> </span>ângulos <span class="blank _12"> </span>A <span class="blank _d"> </span>e <span class="blank _d"> </span>C <span class="blank _12"> </span>são<span class="blank _1"> </span> <span class="blank _12"> </span>iguais <span class="blank _d"> </span>(pois <span class="blank _12"> </span>são <span class="blank _d"> </span>opostos <span class="blank _12"> </span>p<span class="blank _1"> </span>elo <span class="blank _12"> </span>vértice), <span class="blank _12"> </span>assim </div><div class="t m1 x10 h11 y67 ff8 fs3 fc3 sc0 ls0 ws0">como B <span class="blank _11"> </span>= D, E <span class="blank _11"> </span>= G <span class="blank _11"> </span>e F =<span class="blank _0"></span> H. <span class="blank _11"> </span>Observe ainda que A +<span class="blank _0"></span> B <span class="blank _11"> </span>= 180</div><div class="t m4 x36 h13 y68 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x37 h11 y69 ff8 fs3 fc3 sc0 ls0 ws0"> (isto <span class="blank _11"> </span>é, são<span class="blank _0"></span> </div><div class="t m1 x10 h11 y6a ff8 fs3 fc3 sc0 ls0 ws0">suplementares). O mesmo ocorre com B+C, C+D, E+F etc.<span class="blank _1"> </span> </div><div class="t m1 x10 h11 y6b ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Os <span class="blank _a"> </span>ângulos <span class="blank _a"> </span>A <span class="blank _a"> </span>e <span class="blank _a"> </span>E <span class="blank _a"> </span>possuem <span class="blank _a"> </span>a <span class="blank _a"> </span>mesma <span class="blank _a"> </span>medida, <span class="blank _a"> </span>sendo<span class="blank _1"> </span> <span class="blank _a"> </span>chamados <span class="blank _d"> </span>de <span class="blank _a"> </span>â<span class="blank _1"> </span>ngulos </div><div class="t m1 x10 h11 y6c ff8 fs3 fc3 sc0 ls0 ws0">correspondentes. Veja que o<span class="blank _1"> </span> mesmo ocorre entre C e G, B e F, D e H. </div><div class="t m1 x10 h11 y6d ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Os <span class="blank _b"> </span>ângulo<span class="blank _1"> </span>s <span class="blank _b"> </span>A <span class="blank _b"> </span>e <span class="blank _8"> </span>H <span class="blank _b"> </span>so<span class="blank _1"> </span>mam <span class="blank _b"> </span>180</div><div class="t m4 x38 h13 y6e ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x39 h11 y6d ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _b"> </span>(são <span class="blank _8"> </span>suplementares), <span class="blank _b"> </span>sendo <span class="blank _8"> </span>chamados <span class="blank _b"> </span>de </div><div class="t m1 x10 h11 y6f ff8 fs3 fc3 sc0 ls0 ws0">ângulos <span class="blank _7"> </span>colaterais <span class="blank _8"> </span>externo<span class="blank _1"> </span>s <span class="blank _8"> </span>(estão <span class="blank _7"> </span>do <span class="blank _8"> </span>mesmo <span class="blank _7"> </span>lado <span class="blank _8"> </span>da <span class="blank _7"> </span>reta <span class="blank _7"> </span>r, <span class="blank _8"> </span>e <span class="blank _8"> </span>externa<span class="blank _1"> </span>mente <span class="blank _8"> </span>às </div><div class="t m1 x10 h11 y70 ff8 fs3 fc3 sc0 ls0 ws0">retas x e y). O mesmo ocorre entre B e G. </div><div class="t m1 x10 h11 y71 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>D+E <span class="blank _7"> </span>= <span class="blank _7"> </span>18<span class="blank _1"> </span>0</div><div class="t m4 x3a h13 y72 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x3b h11 y73 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _7"> </span>tam<span class="blank _1"> </span>bém, <span class="blank _7"> </span>assim <span class="blank _11"> </span>como <span class="blank _7"> </span>C+F. <span class="blank _7"> </span>E<span class="blank _1"> </span>stes <span class="blank _7"> </span>são <span class="blank _11"> </span>chamados <span class="blank _7"> </span>de <span class="blank _11"> </span>ângulos </div><div class="t m1 x10 h11 y74 ff8 fs3 fc3 sc0 ls0 ws0">colaterais internos (estão do mesmo<span class="blank _1"> </span> lado da reta r, e internamente às retas x e y). </div><div class="t m1 x10 h11 y75 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>E+F <span class="blank _d"> </span>e<span class="blank _1"> </span> <span class="blank _d"> </span>D+C <span class="blank _a"> </span>também <span class="blank _a"> </span>são <span class="blank _a"> </span>suplementares <span class="blank _a"> </span>(somam <span class="blank _d"> </span>180</div><div class="t m4 x6 h13 y76 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x12 h11 y75 ff8 fs3 fc3 sc0 ls0 ws0">), <span class="blank _d"> </span>sendo <span class="blank _a"> </span>chamados <span class="blank _d"> </span>de </div><div class="t m1 x10 h11 y77 ff8 fs3 fc3 sc0 ls0 ws0">ângulos <span class="blank _9"> </span>a<span class="blank _1"> </span>lternos <span class="blank _a"> </span>int<span class="blank _1"> </span>ernos <span class="blank _9"> </span>(estão <span class="blank _9"> </span>em <span class="blank _9"> </span>lados <span class="blank _9"> </span>altern<span class="blank _1"> </span>ados <span class="blank _a"> </span>d<span class="blank _1"> </span>a <span class="blank _a"> </span>re<span class="blank _1"> </span>ta <span class="blank _9"> </span>r, <span class="blank _a"> </span>e<span class="blank _1"> </span> <span class="blank _9"> </span>internamente <span class="blank _9"> </span>às </div><div class="t m1 x10 h11 y78 ff8 fs3 fc3 sc0 ls0 ws0">retas x e y). </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 wa h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg6.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Por <span class="blank _12"> </span>f<span class="blank _1"> </span>im, <span class="blank _12"> </span>A+B <span class="blank _d"> </span>e <span class="blank _d"> </span>G+H <span class="blank _12"> </span>som<span class="blank _1"> </span>am <span class="blank _12"> </span>também <span class="blank _d"> </span>180</div><div class="t m4 x3c h13 y79 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x3d h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _12"> </span>e <span class="blank _12"> </span>sã<span class="blank _1"> </span>o <span class="blank _12"> </span>chama<span class="blank _1"> </span>dos <span class="blank _12"> </span>ângulos <span class="blank _12"> </span>a<span class="blank _1"> </span>lternos </div><div class="t m1 x10 h11 y5c ff8 fs3 fc3 sc0 ls0 ws0">externos. </div><div class="t m1 x10 h11 y30 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Uma <span class="blank _1"> </span>outra unidade <span class="blank _1"> </span>de med<span class="blank _1"> </span>ida de ân<span class="blank _1"> </span>gulos é <span class="blank _1"> </span>chamada de <span class="blank _1"> </span>“radianos”. Dizemos </div><div class="t m1 x10 h11 y7a ff8 fs3 fc3 sc0 ls0 ws0">que 1<span class="blank _1"> </span>80</div><div class="t m4 x3e h13 y7b ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x3f h11 y7c ff8 fs3 fc3 sc0 ls0 ws0"> correspon<span class="blank _1"> </span>dem a </div></div><div class="c x1 y7d wb h16"><div class="t m6 x0 h17 y7e ffa fs9 fc3 sc0 ls0">π</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x40 h11 y7c ff8 fs3 fc3 sc0 ls0 ws0"> (“pi”) <span class="blank _f"> </span>radianos. Com <span class="blank _f"> </span>esta informação <span class="blank _f"> </span>e<span class="blank _0"></span>m <span class="blank _13"> </span>mãos, </div><div class="t m1 x10 h11 y7f ff8 fs3 fc3 sc0 ls0 ws0">conseguimos converter <span class="blank _11"> </span>qualquer outro ângulo <span class="blank _11"> </span>de<span class="blank _1"> </span> g<span class="blank _0"></span>raus para radianos, <span class="blank _11"> </span>ou<span class="blank _1"> </span> <span class="blank _11"> </span>vice-</div><div class="t m1 x10 h11 y80 ff8 fs3 fc3 sc0 ls0 ws0">versa, <span class="blank _b"> </span>utiliz<span class="blank _0"></span>ando <span class="blank _b"> </span>uma <span class="blank _b"> </span>regra <span class="blank _9"> </span>d<span class="blank _1"> </span>e <span class="blank _b"> </span>três <span class="blank _9"> </span>simples. <span class="blank _b"> </span>Exemplificando, <span class="blank _b"> </span>vamos <span class="blank _b"> </span>converter <span class="blank _b"> </span>3<span class="blank _0"></span>0</div><div class="t m4 x41 h13 y81 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x42 h11 y82 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y83 ff8 fs3 fc3 sc0 ls0 ws0">para radianos: </div><div class="t m1 x3a h11 y84 ff8 fs3 fc3 sc0 ls2 ws7">180</div><div class="t m4 x43 h13 y85 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x1e h11 y84 ff8 fs3 fc3 sc0 ls0 ws0"> ---------------------------------------- </div></div><div class="c x44 y86 wc h18"><div class="t m7 x0 h19 y87 ffa fsa fc3 sc0 ls0">π</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x45 h11 y84 ff8 fs3 fc3 sc0 ls3 ws0">radianos<span class="blank _0"></span> </div><div class="t m1 x46 h11 y88 ff8 fs3 fc3 sc0 ls0 ws8">30</div><div class="t m4 x43 h13 y89 ff8 fs6 fc3 sc0 ls0">o</div><div class="t m1 x1e h11 y8a ff8 fs3 fc3 sc0 ls0 ws0">---------------------------------------- X radianos </div><div class="t m1 x10 h11 y8b ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Efetuando a multiplicação cruzada<span class="blank _1"> </span>, temos: </div><div class="t m8 x47 h1a y8c ff8 fsb fc3 sc0 ls4 ws9">180 30</div><div class="t m8 x48 h1a y8d ff8 fsb fc3 sc0 ls0 wsa">30 3</div></div><div class="c x49 y8e wd h1b"><div class="t m8 x0 h1a y8f ff8 fsb fc3 sc0 ls4 wsb">180 18</div></div><div class="c x39 y90 we h1c"><div class="t m8 x0 h1a y91 ff8 fsb fc3 sc0 ls0 ws0"> radiano<span class="blank _1"> </span>s</div></div><div class="c x0 y0 w1 h0"><div class="t m8 x48 h1a y92 ff8 fsb fc3 sc0 ls0">6</div><div class="t m8 x49 h1d y93 ff9 fsb fc3 sc0 ls0">X</div><div class="t m8 x4a h1d y94 ff9 fsb fc3 sc0 ls0">X</div><div class="t m8 x4a h1d y95 ff9 fsb fc3 sc0 ls0">X</div></div><div class="c x4b y96 wf h1e"><div class="t m9 x0 h1f y8f ffa fsc fc3 sc0 ls0">π</div></div><div class="c xf y97 w10 h8"><div class="t m9 x0 h1f y8f ffa fsc fc3 sc0 ls0 wsc">π π</div></div><div class="c x0 y0 w1 h0"><div class="t m9 x48 h1f y98 ffa fsc fc3 sc0 ls0">π</div></div><div class="c x1c y96 w11 h1e"><div class="t m8 x0 h20 y8f ffa fsb fc3 sc0 ls0 wsd">× =<span class="blank _14"> </span>×</div></div><div class="c x4c y97 w12 h8"><div class="t m8 x0 h20 y8f ffa fsb fc3 sc0 ls0 wse">× ×</div></div><div class="c x0 y0 w1 h0"><div class="t m8 x4d h20 y94 ffa fsb fc3 sc0 ls0 wsf">= =</div><div class="t m8 x4d h20 y95 ffa fsb fc3 sc0 ls0">=</div><div class="t m8 x4e h1a y94 ff8 fsb fc3 sc0 ls0 ws0"> </div><div class="t m8 x10 h1a y99 ff8 fsb fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Da mesma forma, você verá que </div></div><div class="c x4f y9a w13 h1c"><div class="t m1 x0 h21 y91 ff8 fsd fc3 sc0 ls0 ws0">360<span class="blank _15"> </span>2<span class="blank _16"> </span> radian<span class="blank _1"> </span>os</div></div><div class="c x0 y0 w1 h0"><div class="t ma x50 h22 y9b ff9 fse fc3 sc0 ls0">o</div><div class="t mb x51 h23 y9c ffa fsf fc3 sc0 ls0">π</div><div class="t m1 x33 h21 y9c ffa fsd fc3 sc0 ls5">=<span class="ff8 ls0 ws0">. </span></div><div class="t m1 x10 h21 y9d ff8 fsd fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h10 y9e ff7 fs3 fc7 sc0 ls0 ws0">1.2 Medidas de comprimento, á<span class="blank _1"> </span>rea e v<span class="blank _0"></span>olume </div><div class="t m1 x10 h10 y9f ff7 fs3 fc7 sc0 ls6 ws0"> <span class="ff8 fsd fc3 ls0 v0">Uma <span class="blank _b"> </span>un<span class="blank _1"> </span>idade <span class="blank _b"> </span>de <span class="blank _b"> </span>medida <span class="blank _b"> </span>é<span class="blank _1"> </span> <span class="blank _b"> </span>uma <span class="blank _b"> </span>quant<span class="blank _1"> </span>idade <span class="blank _b"> </span>de <span class="blank _b"> </span>uma <span class="blank _b"> </span>grande<span class="blank _1"> </span>za <span class="blank _b"> </span>física <span class="blank _b"> </span>que <span class="blank _b"> </span>é </span></div><div class="t m1 x10 h21 ya0 ff8 fsd fc3 sc0 ls0 ws0">usada <span class="blank _17"> </span>como <span class="blank _17"> </span>um <span class="blank _17"> </span>“padrão” <span class="blank _17"> </span>para <span class="blank _18"> </span>a <span class="blank _18"> </span>med<span class="blank _1"> </span>ida <span class="blank _18"> </span>de <span class="blank _17"> </span>outras <span class="blank _18"> </span>quant<span class="blank _1"> </span>idades <span class="blank _18"> </span>da <span class="blank _17"> </span>mesma </div><div class="t m1 x10 h21 y65 ff8 fsd fc3 sc0 ls0 ws0">grandeza. <span class="blank _a"> </span>P<span class="blank _1"> </span>or <span class="blank _a"> </span>exemplo, <span class="blank _a"> </span>o<span class="blank _1"> </span> <span class="blank _a"> </span>“metro” <span class="blank _a"> </span>é <span class="blank _a"> </span>u<span class="blank _1"> </span>ma <span class="blank _a"> </span>quantidad<span class="blank _1"> </span>e <span class="blank _a"> </span>específica <span class="blank _a"> </span>d<span class="blank _1"> </span>a <span class="blank _a"> </span>grandeza <span class="blank _a"> </span>f<span class="blank _1"> </span>ísica </div><div class="t m1 x10 h21 ya1 ff8 fsd fc3 sc0 ls0 ws0">“comprime<span class="blank _1"> </span>nto”, <span class="blank _b"> </span>sendo <span class="blank _b"> </span>utilizado <span class="blank _b"> </span>p<span class="blank _1"> </span>ara <span class="blank _b"> </span>medir <span class="blank _b"> </span>o <span class="blank _b"> </span>comprimento <span class="blank _b"> </span>de <span class="blank _b"> </span>outros <span class="blank _b"> </span>corp<span class="blank _1"> </span>os. <span class="blank _b"> </span>Para </div><div class="t m1 x10 h21 ya2 ff8 fsd fc3 sc0 ls0 ws0">cada gr<span class="blank _0"></span>andeza <span class="blank _11"> </span>f<span class="blank _1"> </span>ísica, <span class="blank _7"> </span>o<span class="blank _1"> </span> <span class="blank _11"> </span>Sistema I<span class="blank _0"></span>nternaciona<span class="blank _1"> </span>l <span class="blank _11"> </span>de <span class="blank _11"> </span>Unidades define <span class="blank _11"> </span>uma <span class="blank _11"> </span>unidade </div><div class="t m1 x10 h21 ya3 ff8 fsd fc3 sc0 ls0 ws0">padrão de<span class="blank _1"> </span> medida. </div><div class="t m1 x10 h21 ya4 ff8 fsd fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Para <span class="blank _d"> </span>efe<span class="blank _1"> </span>tuar <span class="blank _d"> </span>os <span class="blank _d"> </span>cá<span class="blank _1"> </span>lculos <span class="blank _12"> </span>d<span class="blank _1"> </span>e <span class="blank _d"> </span>comprimen<span class="blank _1"> </span>tos, <span class="blank _12"> </span>áre<span class="blank _1"> </span>as <span class="blank _d"> </span>e <span class="blank _d"> </span>volum<span class="blank _1"> </span>es <span class="blank _d"> </span>que <span class="blank _d"> </span>faremos<span class="blank _1"> </span> <span class="blank _12"> </span>ao </div><div class="t m1 x10 h21 ya5 ff8 fsd fc3 sc0 ls0 ws0">longo de<span class="blank _1"> </span>sta aula, você precisa<span class="blank _1"> </span> conhecer: </div><div class="t m1 x10 h21 ya6 ff8 fsd fc3 sc0 ls0 ws0">- <span class="blank _d"> </span>qu<span class="blank _1"> </span>al <span class="blank _d"> </span>a<span class="blank _1"> </span> <span class="blank _d"> </span>u<span class="blank _1"> </span>nidade<span class="blank _1"> </span> <span class="blank _d"> </span>pad<span class="blank _1"> </span>rão <span class="blank _d"> </span>d<span class="blank _1"> </span>e <span class="blank _d"> </span>m<span class="blank _1"> </span>edida <span class="blank _a"> </span>daquela <span class="blank _a"> </span>grandeza <span class="blank _a"> </span>no <span class="blank _a"> </span>Sistema <span class="blank _a"> </span>Inte<span class="blank _1"> </span>rnacional <span class="blank _a"> </span>de </div><div class="t m1 x10 h21 ya7 ff8 fsd fc3 sc0 ls0 ws0">Unidad<span class="blank _1"> </span>es; </div><div class="t m1 x10 h21 y73 ff8 fsd fc3 sc0 ls0 ws0">- quais os <span class="blank _1"> </span>principais múltiplo<span class="blank _1"> </span>s e submúltiplos da <span class="blank _1"> </span>unidade padrão de<span class="blank _1"> </span> medida; </div><div class="t m1 x10 h21 ya8 ff8 fsd fc3 sc0 ls0 ws0">- como co<span class="blank _1"> </span>nverter uma medida de<span class="blank _1"> </span> um múltiplo para<span class="blank _1"> </span> outro. </div><div class="t m1 x10 h10 ya9 ff7 fs3 fc7 sc0 ls0 ws0">1.2.1 Medidas de comprimento </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 w2 h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg7.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>A <span class="blank _a"> </span>un<span class="blank _1"> </span>idade <span class="blank _a"> </span>padrão <span class="blank _a"> </span>de <span class="blank _a"> </span>me<span class="blank _1"> </span>dida <span class="blank _a"> </span>de <span class="blank _a"> </span>comprimento <span class="blank _9"> </span>é <span class="blank _a"> </span>o <span class="blank _a"> </span>m<span class="blank _1"> </span>etro, <span class="blank _a"> </span>representado <span class="blank _a"> </span>pela </div><div class="t m1 x10 h11 y2f ff8 fs3 fc3 sc0 ls0 ws0">letra <span class="blank _a"> </span>m. <span class="blank _a"> </span>Um <span class="blank _a"> </span>metro <span class="blank _a"> </span>é <span class="blank _a"> </span>dividido <span class="blank _a"> </span>em <span class="blank _a"> </span>10 <span class="blank _a"> </span>decímetros, <span class="blank _a"> </span>que <span class="blank _9"> </span>por <span class="blank _a"> </span>sua <span class="blank _a"> </span>vez <span class="blank _a"> </span>é <span class="blank _a"> </span>dividido <span class="blank _a"> </span>em <span class="blank _a"> </span>10 </div><div class="t m1 x10 h11 y30 ff8 fs3 fc3 sc0 ls0 ws0">centímetros, <span class="blank _b"> </span>que <span class="blank _b"> </span>por <span class="blank _b"> </span>sua <span class="blank _b"> </span>v<span class="blank _0"></span>ez <span class="blank _b"> </span>é <span class="blank _b"> </span>dividido <span class="blank _b"> </span>em <span class="blank _b"> </span>10 <span class="blank _9"> </span>m<span class="blank _1"> </span>ilímetros. <span class="blank _b"> </span>Assim, <span class="blank _b"> </span>podemos <span class="blank _b"> </span>diz<span class="blank _0"></span>er </div><div class="t m1 x10 h11 yaa ff8 fs3 fc3 sc0 ls0 ws0">que 1 <span class="blank _1"> </span>metro <span class="blank _1"> </span>é dividido em<span class="blank _1"> </span> 100centímetros <span class="blank _1"> </span>(10x10), ou <span class="blank _1"> </span>em 1000milímetros. <span class="blank _1"> </span>Por outro </div><div class="t m1 x10 h11 yab ff8 fs3 fc3 sc0 ls0 ws0">lado, <span class="blank _1"> </span>podemos <span class="blank _1"> </span>dizer que <span class="blank _1"> </span>1 <span class="blank _1"> </span>decímetro <span class="blank _1"> </span>é <span class="blank _1"> </span>igual a </div></div><div class="c x51 yac w14 h1c"><div class="t m8 x0 h24 y91 ff8 fs10 fc3 sc0 ls0">1</div></div><div class="c x52 yad w15 h25"><div class="t m8 x0 h24 y8f ff8 fs10 fc3 sc0 ls0 ws10">10</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x53 h11 yab ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _1"> </span>metro <span class="blank _1"> </span>(0,1 m<span class="blank _1"> </span>etro), 1 <span class="blank _1"> </span>cent<span class="blank _1"> </span>ímetro é </div><div class="t m1 x10 h11 yae ff8 fs3 fc3 sc0 ls0 ws0">igual a </div></div><div class="c x3e yaf w16 h25"><div class="t m8 x0 h24 y8f ff8 fs10 fc3 sc0 ls0">1</div></div><div class="c x54 yb0 w17 h1b"><div class="t m8 x0 h24 y8f ff8 fs10 fc3 sc0 ls7 ws11">100</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x55 h11 yb1 ff8 fs3 fc3 sc0 ls0 ws0"> metro (0,01 metro), <span class="blank _1"> </span>e 1 milímetro é equiv<span class="blank _0"></span>alente a<span class="blank _1"> </span> 0,001 metro. </div><div class="t m1 x15 h11 yb2 ff8 fs3 fc3 sc0 ls0 ws0">Por <span class="blank _d"> </span>sua <span class="blank _d"> </span>vez, <span class="blank _d"> </span>10 <span class="blank _d"> </span>m<span class="blank _1"> </span>etros <span class="blank _12"> </span>equivalem <span class="blank _a"> </span>a <span class="blank _12"> </span>1<span class="blank _1"> </span> <span class="blank _12"> </span>d<span class="blank _1"> </span>ecâmetro. <span class="blank _d"> </span>10 <span class="blank _d"> </span>decâmetros <span class="blank _d"> </span>equivalem </div><div class="t m1 x10 h11 yb3 ff8 fs3 fc3 sc0 ls0 ws0">a <span class="blank _b"> </span>1 <span class="blank _b"> </span>he<span class="blank _1"> </span>ctômetro, <span class="blank _b"> </span>e <span class="blank _b"> </span>10 <span class="blank _b"> </span>hectômetros<span class="blank _1"> </span> <span class="blank _b"> </span>equivalem <span class="blank _b"> </span>a <span class="blank _b"> </span>1 <span class="blank _8"> </span>quilômetro. <span class="blank _b"> </span>Veja <span class="blank _b"> </span>isso <span class="blank _8"> </span>na <span class="blank _b"> </span>tabela </div><div class="t m1 x10 h11 yb4 ff8 fs3 fc3 sc0 ls0 ws0">abaixo: </div><div class="t m1 x10 h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Milímetro </div><div class="t m1 x56 h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(mm) </div><div class="t m1 x55 h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Centímetro </div><div class="t m1 x57 h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(cm) </div><div class="t m1 x58 h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Decímetro </div><div class="t m1 x59 h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(dm) </div><div class="t m1 x49 h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Metro </div><div class="t m1 x4f h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(m) </div><div class="t m1 x5a h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Decâmetro </div><div class="t m1 x5b h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(dam) </div><div class="t m1 x5c h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Hectômetro </div><div class="t m1 x16 h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(hm) </div><div class="t m1 x5d h10 yb5 ff7 fs3 fc3 sc0 ls0 ws0">Quilômetro </div><div class="t m1 x2e h10 yb6 ff7 fs3 fc3 sc0 ls0 ws0">(km) </div><div class="t m8 x5e h24 yb7 ff8 fs10 fc3 sc0 ls0 ws0">1000mm <span class="blank _19"> </span>100cm <span class="blank _1a"> </span>10dm <span class="blank _1b"> </span>1m <span class="blank _1c"> </span>0,1dam <span class="blank _1d"> </span>0,01hm <span class="blank _1b"> </span>0,001km </div><div class="t m8 x10 h24 yb8 ff8 fs10 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span> </div><div class="t m8 x10 h24 yb9 ff8 fs10 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Portanto, <span class="blank _1e"> </span>se <span class="blank _e"> </span>tivermos <span class="blank _e"> </span>o <span class="blank _1e"> </span>valor <span class="blank _e"> </span>de <span class="blank _e"> </span>um <span class="blank _1e"> </span>comprimento <span class="blank _e"> </span>em <span class="blank _1e"> </span>qualquer <span class="blank _e"> </span>dessas </div><div class="t m8 x10 h24 yba ff8 fs10 fc3 sc0 ls0 ws0">unidades,<span class="blank _1"> </span> <span class="blank _a"> </span>vejamos <span class="blank _9"> </span>como <span class="blank _a"> </span>obt<span class="blank _1"> </span>ê-lo <span class="blank _a"> </span>em <span class="blank _9"> </span>outra <span class="blank _a"> </span>un<span class="blank _1"> </span>idade. <span class="blank _a"> </span>Pela <span class="blank _9"> </span>tabela <span class="blank _a"> </span>a<span class="blank _1"> </span>cima, <span class="blank _9"> </span>repare <span class="blank _a"> </span>que </div><div class="t m8 x10 h24 ybb ff8 fs10 fc3 sc0 ls0 ws0">para “anda<span class="blank _1"> </span>r” para a direita, basta dividir o n<span class="blank _1"> </span>úmero por 10 (por ex.: 10<span class="blank _1"> </span>dm/10 = 1m). E, </div><div class="t m8 x10 h24 ybc ff8 fs10 fc3 sc0 ls0 ws0">para <span class="blank _8"> </span>“andar” <span class="blank _8"> </span>para <span class="blank _8"> </span>a <span class="blank _8"> </span>esquerda, <span class="blank _8"> </span>basta <span class="blank _b"> </span>m<span class="blank _1"> </span>ultiplicar <span class="blank _b"> </span>p<span class="blank _1"> </span>or <span class="blank _b"> </span>10<span class="blank _1"> </span> <span class="blank _b"> </span>(po<span class="blank _1"> </span>r <span class="blank _b"> </span>ex.: <span class="blank _8"> </span>0,001km<span class="blank _1"> </span> <span class="blank _b"> </span>x <span class="blank _8"> </span>10 <span class="blank _8"> </span>= </div><div class="t m8 x10 h24 ybd ff8 fs10 fc3 sc0 ls0 ws0">0,01hm<span class="blank _1"> </span>). </div><div class="t m8 x5f h24 ybe ff8 fs10 fc3 sc0 ls0 ws0">Sabendo d<span class="blank _1"> </span>isso, vamos escrever 15 centíme<span class="blank _1"> </span>tros na unidade hectômetros. </div><div class="t m8 x56 h24 ybf ff8 fs10 fc3 sc0 ls0 ws0">Veja que prec<span class="blank _1"> </span>isamos andar 4 “casas” para a direita (p<span class="blank _1"> </span>assando por dm, m, dam e </div><div class="t m8 x60 h24 yc0 ff8 fs10 fc3 sc0 ls0 ws0">chegando em<span class="blank _1"> </span> hm). Portanto, precisamos dividir po<span class="blank _1"> </span>r 10 quatro vezes em sequê<span class="blank _1"> </span>ncia: </div><div class="t m8 x61 h24 yc1 ff8 fs10 fc3 sc0 ls0 ws0">15cm / 10 = 1<span class="blank _1"> </span>,5dm </div><div class="t m8 x62 h24 yc2 ff8 fs10 fc3 sc0 ls0 ws0">1,5dm / 10 = 0<span class="blank _1"> </span>,15m </div><div class="t m8 x21 h24 yc3 ff8 fs10 fc3 sc0 ls0 ws0">0,15m / 10 = 0<span class="blank _1"> </span>,015dam </div><div class="t m8 x59 h24 yc4 ff8 fs10 fc3 sc0 ls0 ws0">0,015dam<span class="blank _1"> </span> / 10 = 0,0015hm </div><div class="t m8 x10 h24 yc5 ff8 fs10 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Portanto, <span class="blank _18"> </span>15 <span class="blank _18"> </span>centímetros <span class="blank _18"> </span>equivalem <span class="blank _18"> </span>a <span class="blank _1e"> </span>míseros<span class="blank _1"> </span> <span class="blank _18"> </span>0,<span class="blank _0"></span>0015 <span class="blank _18"> </span>hectômetros. <span class="blank _18"> </span>Da </div><div class="t m8 x10 h24 yc6 ff8 fs10 fc3 sc0 ls0 ws0">mesma <span class="blank _1f"> </span>forma, <span class="blank _1f"> </span>se <span class="blank _1f"> </span>q<span class="blank _0"></span>uiséssem<span class="blank _1"> </span>os <span class="blank _1f"> </span>escrever <span class="blank _20"> </span>15 <span class="blank _20"> </span>he<span class="blank _1"> </span>ctômetros <span class="blank _20"> </span>em<span class="blank _1"> </span> <span class="blank _20"> </span>centímetros, </div><div class="t m8 x10 h24 yc7 ff8 fs10 fc3 sc0 ls0 ws0">precisaríamo<span class="blank _1"> </span>s <span class="blank _1"> </span>and<span class="blank _1"> </span>ar <span class="blank _12"> </span>4 <span class="blank _1"> </span>c<span class="blank _1"> </span>asas <span class="blank _12"> </span>para <span class="blank _d"> </span>a <span class="blank _12"> </span>esquerda, <span class="blank _12"> </span>po<span class="blank _1"> </span>rtanto, <span class="blank _1"> </span>p<span class="blank _1"> </span>recisaríamos <span class="blank _12"> </span>mu<span class="blank _1"> </span>ltiplicar <span class="blank _1"> </span>o </div><div class="t m8 x10 h24 yc8 ff8 fs10 fc3 sc0 ls0 ws0">número 15 <span class="blank _1"> </span>por 10 quatro vezes seguidas, ob<span class="blank _1"> </span>tendo a quantia de 150000cm. </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 w18 h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg8.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h10 y13 ff7 fs3 fc7 sc0 ls0 ws0"> 1.2.2 Medidas de área </div><div class="t m1 x10 h11 yc9 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>A <span class="blank _1"> </span>u<span class="blank _1"> </span>nidade <span class="blank _1"> </span>padrão <span class="blank _1"> </span>d<span class="blank _1"> </span>e <span class="blank _1"> </span>medida <span class="blank _1"> </span>de <span class="blank _12"> </span>área <span class="blank _1"> </span>é <span class="blank _12"> </span>o <span class="blank _1"> </span>me<span class="blank _1"> </span>tro <span class="blank _1"> </span>quadrado, <span class="blank _12"> </span>representado <span class="blank _1"> </span>p<span class="blank _1"> </span>elo </div><div class="t m1 x10 h11 yca ff8 fs3 fc3 sc0 ls0 ws0">símbolo </div></div><div class="c x63 ycb w19 h26"><div class="t mc x0 h27 ycc ff8 fs11 fc3 sc0 ls0">2</div></div><div class="c x5f ycd w15 h28"><div class="t m1 x0 h12 yce ff9 fs3 fc3 sc0 ls0">m</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x64 h11 ycf ff8 fs3 fc3 sc0 ls0 ws0">. <span class="blank _9"> </span>V<span class="blank _1"> </span>eja <span class="blank _9"> </span>a <span class="blank _b"> </span>tabela <span class="blank _9"> </span>de <span class="blank _b"> </span>conversão <span class="blank _9"> </span>do <span class="blank _9"> </span>me<span class="blank _1"> </span>tro <span class="blank _9"> </span>quad<span class="blank _1"> </span>rado <span class="blank _9"> </span>em <span class="blank _b"> </span>se<span class="blank _0"></span>us <span class="blank _9"> </span>mú<span class="blank _1"> </span>ltiplos <span class="blank _9"> </span>e </div><div class="t m1 x10 h11 yd0 ff8 fs3 fc3 sc0 ls0 ws0">submúltiplos: </div></div><div class="c x56 yd1 w1a h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Milímetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x65 h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x66 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(mm</div><div class="t md x67 h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x3e h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c x68 yd1 w1b h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Centímetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x69 h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x6a h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(cm</div><div class="t md x6b h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x6c h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c x6d yd1 w1c h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Decímetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x6e h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x21 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(dm</div><div class="t md x6f h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x70 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c xf yd1 w1d h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Metro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x4f h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x71 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(m</div><div class="t md x33 h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x34 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c x72 yd1 w1e h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Decâmetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x73 h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x74 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(dam</div><div class="t md x1b h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x75 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c x16 yd1 w1f h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Hectômetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x76 h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x77 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(hm</div><div class="t md x78 h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x79 h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div></div><div class="c x7a yd1 w20 h29"><div class="t m2 x0 h2a yd2 ff7 fs4 fc3 sc0 ls0 ws0">Quilômetro </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7b h2a yd3 ff7 fs4 fc3 sc0 ls0 ws0">quadrado </div><div class="t m2 x7c h2a yd4 ff7 fs4 fc3 sc0 ls0 ws12">(km</div><div class="t md x7d h2b yd5 ff7 fs12 fc3 sc0 ls0">2</div><div class="t m2 x7e h2a yd4 ff7 fs4 fc3 sc0 ls0 ws0">) </div><div class="t m2 x10 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws12">1.000.000mm</div></div><div class="c x7f yd7 w21 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x80 yd7 w22 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t m2 x81 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws12">10.000cm</div></div><div class="c x1f yd7 w21 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x82 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws0"> <span class="blank _21"> </span>100dm</div></div><div class="c x83 yd7 w22 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x2 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws0"> <span class="blank _22"> </span>1m</div></div><div class="c x34 yd7 w22 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x84 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws0"> <span class="blank _23"> </span>0,01dam</div></div><div class="c x5c yd7 w21 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x85 h2c yd6 ff8 fs4 fc3 sc0 ls0 ws0"> <span class="blank _24"> </span>0,0001hm</div></div><div class="c x35 yd7 w21 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x1d h2c yd6 ff8 fs4 fc3 sc0 ls0 ws0"> <span class="blank _25"> </span>0,000001km</div></div><div class="c x86 yd7 w21 h2d"><div class="t md x0 h2e yd8 ff8 fs12 fc3 sc0 ls0">2</div></div><div class="c x87 yd9 w23 h2f"><div class="t m2 x0 h2c yda ff8 fs4 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t m1 x10 h11 ydb ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span> </div><div class="t m1 x10 h11 ydc ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Repare <span class="blank _8"> </span>que <span class="blank _b"> </span>agora, <span class="blank _8"> </span>ao <span class="blank _b"> </span>andar <span class="blank _b"> </span>u<span class="blank _1"> </span>ma <span class="blank _b"> </span>casa <span class="blank _8"> </span>para <span class="blank _b"> </span>a <span class="blank _b"> </span>direita, <span class="blank _8"> </span>devemos <span class="blank _b"> </span>dividir <span class="blank _b"> </span>po<span class="blank _1"> </span>r </div><div class="t m1 x10 h11 ydd ff8 fs3 fc3 sc0 ls0 ws0">100, <span class="blank _7"> </span>e <span class="blank _7"> </span>ao <span class="blank _7"> </span>a<span class="blank _1"> </span>ndar <span class="blank _8"> </span>um<span class="blank _1"> </span>a <span class="blank _8"> </span>ca<span class="blank _1"> </span>sa <span class="blank _8"> </span>p<span class="blank _1"> </span>ara <span class="blank _7"> </span>a <span class="blank _7"> </span>esquerda,<span class="blank _1"> </span> <span class="blank _8"> </span>de<span class="blank _1"> </span>vemos <span class="blank _8"> </span>m<span class="blank _1"> </span>ultiplicar <span class="blank _8"> </span>po<span class="blank _1"> </span>r <span class="blank _8"> </span>10<span class="blank _1"> </span>0, <span class="blank _7"> </span>para </div><div class="t m1 x10 h11 yde ff8 fs3 fc3 sc0 ls0 ws0">garantir que obtenhamos a conversão co<span class="blank _1"> </span>rreta. </div><div class="t m1 x10 h11 ydf ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Sabendo <span class="blank _18"> </span>disso, <span class="blank _18"> </span>vamos <span class="blank _18"> </span>escrever <span class="blank _18"> </span>15 <span class="blank _18"> </span>centímetros <span class="blank _18"> </span>q<span class="blank _0"></span>uadrados <span class="blank _18"> </span>na <span class="blank _18"> </span>unidade<span class="blank _0"></span> </div><div class="t m1 x10 h11 ye0 ff8 fs3 fc3 sc0 ls0 ws0">hectômetros <span class="blank _9"> </span>qua<span class="blank _1"> </span>drados. <span class="blank _9"> </span>Precisamos <span class="blank _9"> </span>anda<span class="blank _1"> </span>r <span class="blank _a"> </span>4 <span class="blank _b"> </span>“casas” <span class="blank _9"> </span>para <span class="blank _9"> </span>a <span class="blank _9"> </span>d<span class="blank _1"> </span>ireita <span class="blank _9"> </span>(passando <span class="blank _9"> </span>por </div><div class="t m1 x10 h11 ye1 ff8 fs3 fc3 sc0 ls0 ws8">dm</div><div class="t m4 x88 h13 ye2 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x89 h11 ye1 ff8 fs3 fc3 sc0 ls0 ws0">, <span class="blank _b"> </span>m</div><div class="t m4 x54 h13 ye2 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x67 h11 ye1 ff8 fs3 fc3 sc0 ls0 ws0">, <span class="blank _b"> </span>dam</div><div class="t m4 x8a h13 ye2 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x8b h11 ye1 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _b"> </span>e <span class="blank _b"> </span>chegando <span class="blank _b"> </span>em <span class="blank _b"> </span>hm</div><div class="t m4 x8c h13 ye2 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x1c h11 ye1 ff8 fs3 fc3 sc0 ls0 ws0">). <span class="blank _b"> </span>Portanto, <span class="blank _b"> </span>precisamos <span class="blank _b"> </span>dividir <span class="blank _b"> </span>por <span class="blank _b"> </span>10<span class="blank _1"> </span>0 <span class="blank _b"> </span>quatro </div><div class="t m1 x10 h11 ye3 ff8 fs3 fc3 sc0 ls0 ws0">vezes em sequência: </div><div class="t m1 x21 h11 ye4 ff8 fs3 fc3 sc0 ls0 ws8">15cm</div><div class="t m4 x8c h13 ye5 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x1c h11 ye4 ff8 fs3 fc3 sc0 ls0 ws0"> / 100 = 0,15dm</div><div class="t m4 x8d h13 ye5 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x8e h11 ye4 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x59 h11 ye6 ff8 fs3 fc3 sc0 ls0 ws0">0,15 dm</div><div class="t m4 x2 h13 ye7 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x48 h11 ye8 ff8 fs3 fc3 sc0 ls0 ws0"> / 100 = 0,0015m</div><div class="t m4 x8f h13 ye7 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x90 h11 ye8 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x91 h11 ye9 ff8 fs3 fc3 sc0 ls0 ws8">0,0015m</div><div class="t m4 x92 h13 yea ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x4d h11 yeb ff8 fs3 fc3 sc0 ls0 ws0"> / 100 = 0,000015dam</div><div class="t m4 x93 h13 yea ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x94 h11 yeb ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x95 h11 yec ff8 fs3 fc3 sc0 ls0 ws8">0,000015dam</div><div class="t m4 x96 h13 yed ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x97 h11 yee ff8 fs3 fc3 sc0 ls0 ws0"> / 100 = 0,00000015hm</div><div class="t m4 x5c h13 yed ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x85 h11 yee ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 yef ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Portanto, <span class="blank _26"> </span>15 <span class="blank _26"> </span>ce<span class="blank _0"></span>ntímetros <span class="blank _26"> </span>quadrados <span class="blank _26"> </span>eq<span class="blank _0"></span>uivalem <span class="blank _26"> </span>a <span class="blank _10"> </span>a<span class="blank _1"> </span>penas <span class="blank _10"> </span>0<span class="blank _1"> </span>,00000015 </div><div class="t m1 x10 h11 yf0 ff8 fs3 fc3 sc0 ls0 ws0">hectômetros <span class="blank _27"> </span>quadrados. <span class="blank _27"> </span>Da <span class="blank _16"> </span>m<span class="blank _1"> </span>esma <span class="blank _16"> </span>f<span class="blank _1"> </span>orma, <span class="blank _16"> </span>se <span class="blank _27"> </span>quiséssemos <span class="blank _27"> </span>escrever <span class="blank _16"> </span>15 </div><div class="t m1 x10 h11 yf1 ff8 fs3 fc3 sc0 ls0 ws0">hectômetros <span class="blank _8"> </span>quad<span class="blank _1"> </span>rados <span class="blank _b"> </span>em<span class="blank _1"> </span> <span class="blank _8"> </span>centímetros <span class="blank _8"> </span>quadrados, <span class="blank _8"> </span>precisaríamos <span class="blank _8"> </span>andar <span class="blank _8"> </span>4<span class="blank _1"> </span> <span class="blank _8"> </span>casas </div><div class="t m1 x10 h11 yf2 ff8 fs3 fc3 sc0 ls0 ws0">para <span class="blank _b"> </span>a <span class="blank _b"> </span>esquerda, <span class="blank _b"> </span>po<span class="blank _1"> </span>rtanto, <span class="blank _b"> </span>precisaríamos <span class="blank _b"> </span>multiplicar <span class="blank _b"> </span>o <span class="blank _b"> </span>número <span class="blank _b"> </span>15 <span class="blank _b"> </span>por <span class="blank _b"> </span>100<span class="blank _1"> </span> <span class="blank _b"> </span>quatro </div><div class="t m1 x10 h11 yf3 ff8 fs3 fc3 sc0 ls0 ws0">vezes <span class="blank _1"> </span>seguida<span class="blank _1"> </span>s, <span class="blank _1"> </span>o <span class="blank _12"> </span>que <span class="blank _1"> </span>equivale <span class="blank _12"> </span>a <span class="blank _12"> </span>escrever <span class="blank _1"> </span>o<span class="blank _1"> </span> <span class="blank _1"> </span>nú<span class="blank _1"> </span>mero <span class="blank _1"> </span>15<span class="blank _1"> </span> <span class="blank _1"> </span>seguido <span class="blank _1"> </span>de <span class="blank _12"> </span>8 <span class="blank _12"> </span>zeros <span class="blank _1"> </span>(4 <span class="blank _12"> </span>x <span class="blank _12"> </span>2), </div><div class="t m1 x10 h11 yf4 ff8 fs3 fc3 sc0 ls0 ws0">obtendo a quantia de 1500000000<span class="blank _1"> </span>cm</div><div class="t m4 x1c h13 yf5 ff8 fs6 fc3 sc0 ls0">2</div><div class="t m1 x98 h11 yf4 ff8 fs3 fc3 sc0 ls0 ws0">. </div><div class="t m1 x10 h11 yf6 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h10 yf7 ff7 fs3 fc7 sc0 ls0 ws0">1.2.3 Medidas de volume </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 w2 h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bg9.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Já <span class="blank _9"> </span>a <span class="blank _9"> </span>un<span class="blank _1"> </span>idade <span class="blank _9"> </span>padrão <span class="blank _a"> </span>d<span class="blank _1"> </span>e <span class="blank _9"> </span>medida <span class="blank _9"> </span>de <span class="blank _9"> </span>volume <span class="blank _b"> </span>é <span class="blank _a"> </span>o <span class="blank _9"> </span>me<span class="blank _1"> </span>tro <span class="blank _a"> </span>cúbico<span class="blank _1"> </span>, <span class="blank _9"> </span>representado </div><div class="t m1 x10 h11 yf8 ff8 fs3 fc3 sc0 ls0 ws0">pelo <span class="blank _d"> </span>símbolo </div></div><div class="c x81 yf9 w24 h30"><div class="t mc x0 h27 yd8 ff8 fs11 fc3 sc0 ls0">3</div></div><div class="c x99 yfa w15 h31"><div class="t m1 x0 h12 yfb ff9 fs3 fc3 sc0 ls0">m</div></div><div class="c x0 y0 w1 h0"><div class="t m1 x9a h11 yfc ff8 fs3 fc3 sc0 ls0 ws0">. <span class="blank _d"> </span>Veja <span class="blank _d"> </span>a <span class="blank _d"> </span>tabela <span class="blank _d"> </span>de <span class="blank _d"> </span>conversão <span class="blank _d"> </span>do <span class="blank _d"> </span>metro <span class="blank _d"> </span>cúbico <span class="blank _d"> </span>em <span class="blank _d"> </span>seus <span class="blank _d"> </span>múltiplos <span class="blank _d"> </span>e </div><div class="t m1 x10 h11 yfd ff8 fs3 fc3 sc0 ls0 ws0">submúltiplos: </div><div class="t me x9b h32 yfe ff7 fs13 fc3 sc0 ls0 ws0">Milímet<span class="blank _1"> </span>ro </div><div class="t me x9c h32 yff ff7 fs13 fc3 sc0 ls0 ws0">cúbico (mm</div><div class="t mf x9d h33 y100 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x64 h32 yff ff7 fs13 fc3 sc0 ls0 ws0">) </div></div><div class="c x9e y101 w25 h34"><div class="t me x0 h32 y102 ff7 fs13 fc3 sc0 ls0 ws0">Centímetro </div></div><div class="c x0 y0 w1 h0"><div class="t me x3a h32 y103 ff7 fs13 fc3 sc0 ls0 ws0">cúbico </div><div class="t me x19 h32 y104 ff7 fs13 fc3 sc0 ls0 ws13">(cm</div><div class="t mf x6c h33 y105 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x95 h32 y104 ff7 fs13 fc3 sc0 ls0 ws0">) </div></div><div class="c x6e y101 w26 h34"><div class="t me x0 h32 y102 ff7 fs13 fc3 sc0 ls0 ws0">Decímetro </div></div><div class="c x0 y0 w1 h0"><div class="t me x9f h32 y103 ff7 fs13 fc3 sc0 ls0 ws0">cúbico </div><div class="t me x21 h32 y104 ff7 fs13 fc3 sc0 ls0 ws13">(dm</div><div class="t mf x6f h33 y105 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x92 h32 y104 ff7 fs13 fc3 sc0 ls0 ws0">) </div></div><div class="c x4f y101 w27 h34"><div class="t me x0 h32 y102 ff7 fs13 fc3 sc0 ls0 ws0">Met<span class="blank _1"> </span>ro </div></div><div class="c x0 y0 w1 h0"><div class="t me x39 h32 y103 ff7 fs13 fc3 sc0 ls0 ws0">cúbico </div><div class="t me xa0 h32 y104 ff7 fs13 fc3 sc0 ls0 ws13">(m</div><div class="t mf xa1 h33 y105 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x50 h32 y104 ff7 fs13 fc3 sc0 ls0 ws0">) </div></div><div class="c xa2 y101 w28 h34"><div class="t me x0 h32 y102 ff7 fs13 fc3 sc0 ls0 ws0">Decâmetro </div></div><div class="c x0 y0 w1 h0"><div class="t me x5b h32 y103 ff7 fs13 fc3 sc0 ls0 ws0">cúbico </div><div class="t me x5b h32 y104 ff7 fs13 fc3 sc0 ls0 ws13">(dam</div><div class="t mf x8 h33 y105 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x22 h32 y104 ff7 fs13 fc3 sc0 ls0 ws0">) </div></div><div class="c xa3 y101 w29 h34"><div class="t me x0 h32 y102 ff7 fs13 fc3 sc0 ls0 ws0">Hectômetro </div></div><div class="c x0 y0 w1 h0"><div class="t me xa4 h32 y103 ff7 fs13 fc3 sc0 ls0 ws0">cúbico </div><div class="t me x9 h32 y104 ff7 fs13 fc3 sc0 ls0 ws13">(hm</div><div class="t mf x2a h33 y105 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me x2b h32 y104 ff7 fs13 fc3 sc0 ls0 ws0">) </div><div class="t me x1d h32 yfe ff7 fs13 fc3 sc0 ls0 ws0">Quilômetro </div><div class="t me x35 h32 yff ff7 fs13 fc3 sc0 ls0 ws0">cúbico (km</div><div class="t mf xa5 h33 y100 ff7 fs14 fc3 sc0 ls0">3</div><div class="t me xa6 h32 yff ff7 fs13 fc3 sc0 ls0 ws0">) </div><div class="t me x10 h35 y106 ff8 fs13 fc3 sc0 ls0 ws13">1000000000mm</div></div><div class="c xa7 y107 w2a h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c x8a y107 w2b h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t me x69 h35 y106 ff8 fs13 fc3 sc0 ls0 ws13">1000000cm</div></div><div class="c x58 y107 w2b h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c x14 y107 w2b h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t me x1 h35 y106 ff8 fs13 fc3 sc0 ls0 ws13">1000dm</div></div><div class="c x8c y107 w2a h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c x0 y0 w1 h0"><div class="t me x2 h35 y106 ff8 fs13 fc3 sc0 ls0 ws0"> <span class="blank _28"> </span>1m</div></div><div class="c x50 y107 w2a h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c x0 y0 w1 h0"><div class="t me xa8 h35 y106 ff8 fs13 fc3 sc0 ls0 ws0"> <span class="blank _24"> </span>0,00<span class="blank _1"> </span>1dam</div></div><div class="c x29 y107 w2b h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c x0 y0 w1 h0"><div class="t me x45 h35 y106 ff8 fs13 fc3 sc0 ls0 ws0"> <span class="blank _29"> </span>0,000001hm</div></div><div class="c xa9 y107 w2b h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c xaa y109 w23 h38"><div class="t me x0 h35 y10a ff8 fs13 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t me x2c h35 y106 ff8 fs13 fc3 sc0 ls0 ws13">0,000000001k<span class="blank _1"> </span>m</div></div><div class="c xab y107 w2a h36"><div class="t mf x0 h37 y108 ff8 fs14 fc3 sc0 ls0">3</div></div><div class="c xac y109 w2c h38"><div class="t me x0 h35 y10a ff8 fs13 fc3 sc0 ls0 ws0"> </div></div><div class="c x0 y0 w1 h0"><div class="t m1 x10 h11 y10b ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span> </div><div class="t m1 x10 h11 y10c ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Repare <span class="blank _8"> </span>que <span class="blank _b"> </span>agora, <span class="blank _8"> </span>ao <span class="blank _b"> </span>andar <span class="blank _b"> </span>u<span class="blank _1"> </span>ma <span class="blank _b"> </span>casa <span class="blank _8"> </span>para <span class="blank _b"> </span>a <span class="blank _b"> </span>direita, <span class="blank _8"> </span>devemos <span class="blank _b"> </span>dividir <span class="blank _b"> </span>po<span class="blank _1"> </span>r </div><div class="t m1 x10 h11 y10d ff8 fs3 fc3 sc0 ls0 ws0">1000, <span class="blank _9"> </span>e<span class="blank _1"> </span> <span class="blank _a"> </span>ao<span class="blank _1"> </span> <span class="blank _a"> </span>a<span class="blank _1"> </span>ndar <span class="blank _9"> </span>uma <span class="blank _9"> </span>casa <span class="blank _9"> </span>pa<span class="blank _1"> </span>ra <span class="blank _a"> </span>a <span class="blank _b"> </span>esquerda, <span class="blank _9"> </span>devemos <span class="blank _9"> </span>multiplicar <span class="blank _9"> </span>po<span class="blank _1"> </span>r <span class="blank _9"> </span>1000, <span class="blank _9"> </span>para </div><div class="t m1 x10 h11 y10e ff8 fs3 fc3 sc0 ls0 ws0">obter a conversão correta<span class="blank _1"> </span>. </div><div class="t m1 x10 h11 y10f ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Sabendo <span class="blank _26"> </span>disso<span class="blank _1"> </span>, <span class="blank _26"> </span>vamos <span class="blank _26"> </span>escrever <span class="blank _26"> </span>15 <span class="blank _2a"> </span>centímetros <span class="blank _26"> </span>cúb<span class="blank _1"> </span>icos <span class="blank _26"> </span>na <span class="blank _26"> </span>unidade </div><div class="t m1 x10 h11 y110 ff8 fs3 fc3 sc0 ls0 ws0">hectômetros <span class="blank _1"> </span>cúbicos. <span class="blank _1"> </span>Precisa<span class="blank _1"> </span>mos <span class="blank _1"> </span>andar <span class="blank _1"> </span>4 <span class="blank _1"> </span>“casas” <span class="blank _1"> </span>pa<span class="blank _1"> </span>ra a<span class="blank _1"> </span> direita<span class="blank _1"> </span> <span class="blank _1"> </span>(passando <span class="blank _1"> </span>por <span class="blank _1"> </span>dm</div><div class="t m4 xad h13 y111 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 xae h11 y112 ff8 fs3 fc3 sc0 ls0 ws0">, </div><div class="t m1 x10 h11 y113 ff8 fs3 fc3 sc0 ls0">m</div><div class="t m4 x65 h13 y114 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 xaf h11 y115 ff8 fs3 fc3 sc0 ls0 ws0">, <span class="blank _d"> </span>dam</div><div class="t m4 xb0 h13 y114 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x5f h11 y115 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _d"> </span>e <span class="blank _d"> </span>chegando <span class="blank _12"> </span>e<span class="blank _1"> </span>m <span class="blank _d"> </span>hm</div><div class="t m4 x13 h13 y114 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x21 h11 y115 ff8 fs3 fc3 sc0 ls0 ws0">). <span class="blank _d"> </span>Portanto, <span class="blank _d"> </span>precisamos <span class="blank _d"> </span>dividir <span class="blank _d"> </span>por <span class="blank _d"> </span>1000<span class="blank _1"> </span> <span class="blank _12"> </span>qua<span class="blank _1"> </span>tro <span class="blank _12"> </span>vezes </div><div class="t m1 x10 h11 y116 ff8 fs3 fc3 sc0 ls0 ws0">em sequência: </div><div class="t m1 x1 h11 y117 ff8 fs3 fc3 sc0 ls0 ws8">15cm</div><div class="t m4 x70 h13 y118 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x4d h11 y117 ff8 fs3 fc3 sc0 ls0 ws0"> / 1000 = 0,015dm</div><div class="t m4 x74 h13 y118 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x8f h11 y117 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x14 h11 y119 ff8 fs3 fc3 sc0 ls0 ws8">0,015dm</div><div class="t m4 xb1 h13 y11a ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x8c h11 y11b ff8 fs3 fc3 sc0 ls0 ws0"> / 1000 = 0,000015m</div><div class="t m4 x29 h13 y11a ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x93 h11 y11b ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x43 h11 y11c ff8 fs3 fc3 sc0 ls0 ws8">0,000015m</div><div class="t m4 x4a h13 y11d ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x6f h11 y11e ff8 fs3 fc3 sc0 ls0 ws0"> / 1000 = 0,000000015dam</div><div class="t m4 x85 h13 y11d ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 xa4 h11 y11e ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x6a h11 y11f ff8 fs3 fc3 sc0 ls0 ws8">0,000000015dam</div><div class="t m4 xb1 h13 y120 ff8 fs6 fc3 sc0 ls0 ws0">3 </div><div class="t m1 x96 h11 y121 ff8 fs3 fc3 sc0 ls0 ws0">/ 1000 = 0,000000000015hm</div><div class="t m4 x76 h13 y120 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x2a h11 y121 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x10 h11 y122 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Portanto, <span class="blank _17"> </span>15 <span class="blank _18"> </span>centímetros <span class="blank _18"> </span>c<span class="blank _1"> </span>úbicos <span class="blank _18"> </span>equivalem <span class="blank _17"> </span>a <span class="blank _18"> </span>apena<span class="blank _1"> </span>s <span class="blank _18"> </span>0,000000000015 </div><div class="t m1 x10 h11 y123 ff8 fs3 fc3 sc0 ls0 ws0">hectômetros <span class="blank _9"> </span>cú<span class="blank _1"> </span>bicos. <span class="blank _9"> </span>Da <span class="blank _9"> </span>m<span class="blank _1"> </span>esma <span class="blank _9"> </span>forma, <span class="blank _b"> </span>s<span class="blank _0"></span>e <span class="blank _9"> </span>quiséssem<span class="blank _1"> </span>os <span class="blank _a"> </span>e<span class="blank _1"> </span>screver <span class="blank _9"> </span>15 <span class="blank _9"> </span>he<span class="blank _1"> </span>ctômetros<span class="blank _0"></span> </div><div class="t m1 x10 h11 y124 ff8 fs3 fc3 sc0 ls0 ws0">cúbicos <span class="blank _7"> </span>em <span class="blank _7"> </span>cen<span class="blank _1"> </span>tímetros <span class="blank _8"> </span>cúbicos,<span class="blank _1"> </span> <span class="blank _8"> </span>pre<span class="blank _1"> </span>cisarí<span class="blank _0"></span>amos <span class="blank _7"> </span>anda<span class="blank _1"> </span>r <span class="blank _8"> </span>4 <span class="blank _7"> </span>ca<span class="blank _1"> </span>sas <span class="blank _8"> </span>para <span class="blank _7"> </span>a <span class="blank _7"> </span>esque<span class="blank _1"> </span>rda, </div><div class="t m1 x10 h11 y125 ff8 fs3 fc3 sc0 ls0 ws0">portanto, <span class="blank _d"> </span>p<span class="blank _1"> </span>recisarí<span class="blank _0"></span>amos <span class="blank _d"> </span>multiplica<span class="blank _1"> </span>r <span class="blank _12"> </span>o <span class="blank _d"> </span>n<span class="blank _1"> </span>úmero <span class="blank _12"> </span>15 <span class="blank _d"> </span>po<span class="blank _1"> </span>r <span class="blank _12"> </span>1000<span class="blank _1"> </span> <span class="blank _12"> </span>quat<span class="blank _1"> </span>ro <span class="blank _12"> </span>vezes <span class="blank _d"> </span>seguidas, <span class="blank _a"> </span>o </div><div class="t m1 x10 h11 y126 ff8 fs3 fc3 sc0 ls0 ws0">que equivale <span class="blank _1"> </span>a escrever <span class="blank _1"> </span>o número 15<span class="blank _1"> </span> seguido de <span class="blank _1"> </span>12 zeros (4 <span class="blank _1"> </span>x 3), obtendo <span class="blank _1"> </span>a quantia </div><div class="t m1 x10 h11 y127 ff8 fs3 fc3 sc0 ls0 ws0">de 15.000.000.000.000cm</div><div class="t m4 x91 h13 y128 ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 xb2 h11 y127 ff8 fs3 fc3 sc0 ls0 ws0"> (quinze trilhões de centímetros cúbicos). </div><div class="t m1 x10 h11 y129 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Para <span class="blank _a"> </span>finalizar <span class="blank _a"> </span>o <span class="blank _a"> </span>est<span class="blank _1"> </span>udo <span class="blank _a"> </span>de <span class="blank _a"> </span>unidades <span class="blank _a"> </span>de<span class="blank _1"> </span> <span class="blank _a"> </span>volume, <span class="blank _a"> </span>é <span class="blank _a"> </span>importante <span class="blank _a"> </span>você <span class="blank _a"> </span>conhe<span class="blank _1"> </span>cer<span class="blank _0"></span> </div><div class="t m1 x10 h11 y12a ff8 fs3 fc3 sc0 ls0 ws0">outra <span class="blank _d"> </span>unidade <span class="blank _12"> </span>mu<span class="blank _1"> </span>ito <span class="blank _12"> </span>utilizada: <span class="blank _12"> </span>o<span class="blank _1"> </span> <span class="blank _12"> </span>litro. <span class="blank _d"> </span>Sabendo <span class="blank _12"> </span>que <span class="blank _d"> </span>1 <span class="blank _d"> </span>litro <span class="blank _12"> </span>é <span class="blank _d"> </span>igual <span class="blank _d"> </span>a <span class="blank _12"> </span>1<span class="blank _1"> </span>dm</div><div class="t m4 x79 h13 y12b ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x2c h11 y12a ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _12"> </span>(decímetro </div><div class="t m1 x10 h11 y12c ff8 fs3 fc3 sc0 ls0 ws0">cúbico), <span class="blank _18"> </span>você <span class="blank _17"> </span>consegue <span class="blank _18"> </span>de<span class="blank _1"> </span>scobrir <span class="blank _18"> </span>outros <span class="blank _18"> </span>valores <span class="blank _18"> </span>f<span class="blank _1"> </span>acilmente. <span class="blank _18"> </span>Ve<span class="blank _1"> </span>ja <span class="blank _18"> </span>que, <span class="blank _18"> </span>como </div><div class="t m1 x10 h11 y12d ff8 fs3 fc3 sc0 ls0 ws8">1000dm</div><div class="t m4 x67 h13 y12e ff8 fs6 fc3 sc0 ls0 ws0">3 </div><div class="t m1 xb3 h11 y12d ff8 fs3 fc3 sc0 ls0 ws0">= 1 m</div><div class="t m4 x8b h13 y12e ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x81 h11 y12d ff8 fs3 fc3 sc0 ls0 ws0">, podemos dizer que 1000 litros = 1m</div><div class="t m4 x8d h13 y12e ff8 fs6 fc3 sc0 ls0">3</div><div class="t m1 x8e h11 y12d ff8 fs3 fc3 sc0 ls0 ws0">. </div><div class="t m1 x10 h11 y12f ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span> </div><div class="t m1 x10 h10 y130 ff7 fs3 fc7 sc0 ls0 ws0">1.3 Geometria plana<span class="ff8 fc3"> <span class="blank _1c"> </span> </span></div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y6 wa h6" alt src="https://files.passeidireto.com/2a84b53a-8176-4618-abb5-708fbb970ce5/bga.png" alt="Pré-visualização de imagem de arquivo"><div class="c x0 y0 w1 h0"><div class="t m1 x6 h7 y7 ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 y8 w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m1 x8 h7 ya ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c x7 yb w3 h8"><div class="t m1 x0 h7 y9 ff3 fs3 fc2 sc0 ls0"></div></div><div class="c x9 yc w4 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws1"></div></div><div class="c xa yc w5 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xb yc w6 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0"></div></div><div class="c xc yc w7 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0 ws0"> </div></div><div class="c xd yc w8 h9"><div class="t m1 x0 h7 yd ff3 fs3 fc2 sc0 ls0">!</div></div><div class="c x0 y0 w1 h0"><div class="t m2 x7 ha ye ff4 fs4 fc3 sc0 ls0"></div></div><div class="c xe yc w9 hb"><div class="t m2 x0 hc yf ff5 fs4 fc3 sc0 ls0"></div></div><div class="c x0 y0 w1 h0"><div class="t m3 xf hd y10 ff4 fs5 fc2 sc0 ls0"></div><div class="t m2 x10 hc y11 ff5 fs4 fc3 sc0 ls0"></div><div class="t m2 x10 he y12 ff3 fs4 fc4 sc0 ls0 ws2"><span class="blank _0"></span></div><div class="t m3 x11 hd y12 ff4 fs5 fc5 sc0 ls0 ws3"><span class="blank _0"></span><span class="blank _0"></span></div><div class="t m2 x12 ha y12 ff5 fs4 fc4 sc0 ls1 ws4"><span class="blank _0"></span><span class="blank _0"></span><span class="blank _0"></span><span class="ff4 ls0 ws5"><span class="ff5"><span class="fc3"></span></span></span></div><div class="t m1 x10 h11 y13 ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>A <span class="blank _d"> </span>geometria <span class="blank _d"> </span>plana <span class="blank _12"> </span>é<span class="blank _1"> </span> <span class="blank _12"> </span>aquela <span class="blank _d"> </span>que<span class="blank _1"> </span> <span class="blank _12"> </span>trabalha <span class="blank _d"> </span>figuras <span class="blank _d"> </span>em <span class="blank _d"> </span>duas <span class="blank _d"> </span>dimensões, <span class="blank _d"> </span>isto <span class="blank _12"> </span>é, </div><div class="t m1 x10 h11 y2f ff8 fs3 fc3 sc0 ls0 ws0">em <span class="blank _9"> </span>um <span class="blank _9"> </span>p<span class="blank _1"> </span>lano. <span class="blank _a"> </span>Veremos <span class="blank _9"> </span>a<span class="blank _1"> </span>lguns <span class="blank _9"> </span>conceitos <span class="blank _9"> </span>básicos <span class="blank _9"> </span>e, <span class="blank _9"> </span>a <span class="blank _b"> </span>seg<span class="blank _0"></span>uir, <span class="blank _9"> </span>as <span class="blank _9"> </span>principa<span class="blank _1"> </span>is <span class="blank _a"> </span>f<span class="blank _1"> </span>iguras </div><div class="t m1 x10 h11 y30 ff8 fs3 fc3 sc0 ls0 ws0">geométricas planas que podem ca<span class="blank _1"> </span>ir em sua prov<span class="blank _0"></span>a. </div><div class="t m1 x10 h11 yaa ff8 fs3 fc3 sc0 ls0 ws0"> <span class="blank _c"> </span>Chamamos de Polígono qualquer figura geométrica fechada formada por </div><div class="t m1 x10 h11 y61 ff8 fs3 fc3 sc0 ls0 ws0">uma série de segmentos de reta. Veja abaixo um e<span class="blank _1"> </span>xemplo de polígono: </div><div class="t m1 x8d h11 y131 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h11 y132 ff8 fs3 fc3 sc0 ls0 ws0">Note <span class="blank _12"> </span>que <span class="blank _12"> </span>uma<span class="blank _1"> </span> <span class="blank _1"> </span>f<span class="blank _1"> </span>igura <span class="blank _1"> </span>com<span class="blank _1"> </span>o <span class="blank _1"> </span>e<span class="blank _1"> </span>sta <span class="blank _12"> </span>abaixo, <span class="blank _12"> </span>apesar <span class="blank _12"> </span>de <span class="blank _12"> </span>f<span class="blank _1"> </span>ormada <span class="blank _12"> </span>por <span class="blank _12"> </span>uma <span class="blank _12"> </span>série <span class="blank _12"> </span>de </div><div class="t m1 x10 h11 y133 ff8 fs3 fc3 sc0 ls0 ws0">segmentos de reta, não é um po<span class="blank _1"> </span>líg<span class="blank _0"></span>ono, pois não é fechada<span class="blank _1"> </span>: </div><div class="t m1 x53 h11 y134 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h11 y135 ff8 fs3 fc3 sc0 ls0 ws0"> </div><div class="t m1 x15 h11 y136 ff8 fs3 fc3 sc0 ls0 ws0">Um polígono qualquer possu<span class="blank _1"> </span>i os seguintes elementos: </div><div class="t m1 x10 h11 y137 ff8 fs3 fc3 sc0 ls0 ws0">- <span class="blank _8"> </span>lado<span class="blank _1"> </span>s: <span class="blank _8"> </span>são <span class="blank _7"> </span>os <span class="blank _7"> </span>segmentos <span class="blank _7"> </span>de <span class="blank _8"> </span>reta<span class="blank _1"> </span> <span class="blank _8"> </span>que <span class="blank _8"> </span>f<span class="blank _1"> </span>ormam <span class="blank _8"> </span>o <span class="blank _7"> </span>polígono <span class="blank _7"> </span>(a <span class="blank _8"> </span>figura <span class="blank _7"> </span>abaixo, <span class="blank _7"> </span>um </div><div class="t m1 x10 h11 y138 ff8 fs3 fc3 sc0 ls0 ws0">pentágono, possui 5 <span class="blank _1"> </span>segmentos de reta, isto é, 5 lados). </div><div class="t m1 x10 h11 y139 ff8 fs3 fc3 sc0 ls0 ws0">- <span class="blank _12"> </span>vértices: <span class="blank _d"> </span>sã<span class="blank _1"> </span>o <span class="blank _d"> </span>os <span class="blank _d"> </span>pontos <span class="blank _d"> </span>de <span class="blank _d"> </span>junção <span class="blank _d"> </span>de <span class="blank _d"> </span>do<span class="blank _1"> </span>is <span class="blank _12"> </span>segmen<span class="blank _1"> </span>tos <span class="blank _12"> </span>de <span class="blank _d"> </span>reta <span class="blank _d"> </span>consecut<span class="blank _1"> </span>ivos. <span class="blank _12"> </span>Estão </div><div class="t m1 x10 h11 y13a ff8 fs3 fc3 sc0 ls0 ws0">marcados com letras maiú<span class="blank _1"> </span>sculas na figura abaixo. </div><div class="t m1 x10 h11 y13b ff8 fs3 fc3 sc0 ls0 ws0">- <span class="blank _b"> </span>diagonais: <span class="blank _b"> </span>são <span class="blank _9"> </span>os <span class="blank _b"> </span>segmentos <span class="blank _b"> </span>de <span class="blank _b"> </span>reta <span class="blank _9"> </span>que <span class="blank _b"> </span>unem <span class="blank _b"> </span>dois <span class="blank _9"> </span>vértices <span class="blank _b"> </span>não <span class="blank _b"> </span>consecutivos, </div><div class="t m1 x10 h11 y13c ff8 fs3 fc3 sc0 ls0 ws0">isto é, nã<span class="blank _1"> </span>o devemos consid<span class="blank _1"> </span>erar que os lado<span class="blank _1"> </span>s do polígono são ta<span class="blank _1"> </span>mbém diagonais. Na </div><div class="t m1 x10 h11 y13d ff8 fs3 fc3 sc0 ls0 ws0">figura abaixo, estão pontilhados: </div><div class="t m1 x29 h11 y13e ff8 fs3 fc3 sc0 ls0 ws0"> </div></div><div class="t m0 x4 h5 y5 ff2 fs2 fc0 sc0 ls0 ws0">10323012795 - Rosamaria Domingues de Oliveira</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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