{"id":6801,"date":"2024-06-22T13:06:42","date_gmt":"2024-06-22T16:06:42","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6801"},"modified":"2024-06-22T13:06:42","modified_gmt":"2024-06-22T16:06:42","slug":"questao-159-enem-ppl-2018","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-159-enem-ppl-2018\/","title":{"rendered":"Quest\u00e3o 159 &#8211; ENEM PPL 2018"},"content":{"rendered":"\n<p class=\"has-text-align-center\">Quest\u00e3o 159 &#8211; Geometria Plana<\/p>\n\n\n\n<p>Um brinquedo chamado pula-pula, quando visto de cima, consiste de uma cama el\u00e1stica com contorno em formato de um hex\u00e1gono regular.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"225\" height=\"213\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/06\/image-100.png\" alt=\"\" class=\"wp-image-6803 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 225px; --smush-placeholder-aspect-ratio: 225\/213;\"><\/figure>\n\n\n\n<p>Se a \u00e1rea do c\u00edrculo inscrito no hex\u00e1gono \u00e9 3\u03c0 metros quadrados, ent\u00e3o a \u00e1rea do hex\u00e1gono, em metro quadrado, \u00e9<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"81\" height=\"133\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/06\/image-99.png\" alt=\"\" class=\"wp-image-6802 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 81px; --smush-placeholder-aspect-ratio: 81\/133;\"><\/figure>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p>Se a \u00e1rea do c\u00edrculo \u00e9 3\u03c0 ent\u00e3o o raio r ser\u00e1<\/p>\n\n\n\n<p>3\u03c0 = \u03c0r\u00b2<\/p>\n\n\n\n<p>r = \u221a3<\/p>\n\n\n\n<p>Podemos observar que o r forma um tri\u00e2ngulo ret\u00e2ngulo com metade do lado do hex\u00e1gono em que a hipotenusa \u00e9 a dist\u00e2ncia do centro ao v\u00e9rtice B.<\/p>\n\n\n\n<p>Pelas propriedades do hex\u00e1gono regular, sabemos que o segmento OB \u00e9 igual ao segmento AB, ent\u00e3o vale L.<\/p>\n\n\n\n<p>Vamos usar pit\u00e1goras para calcular L nesse tri\u00e2ngulo ret\u00e2ngulo<\/p>\n\n\n\n<p>r\u00b2 + (L\/2)\u00b2 = L\u00b2<\/p>\n\n\n\n<p>substituindo r<\/p>\n\n\n\n<p>\u221a3\u00b2 + L\u00b2\/4 =L\u00b2<\/p>\n\n\n\n<p>3 = L\u00b2 &#8211; L\u00b2\/4<\/p>\n\n\n\n<p>3 = 3L\u00b2\/4<\/p>\n\n\n\n<p>L\u00b2 = 4<\/p>\n\n\n\n<p>L = 2<\/p>\n\n\n\n<p>A \u00e1rea do hex\u00e1gono regular \u00e9 dada por<\/p>\n\n\n\n<p>3\u221a3L\u00b2\/2 = 3\u221a3.4\/2 = 6\u221a3 m\u00b2<\/p>\n\n\n\n<p><strong>Alternativa B<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quest\u00e3o 159 &#8211; Geometria Plana Um brinquedo chamado pula-pula, quando visto de cima, consiste de uma cama el\u00e1stica com contorno em formato de um hex\u00e1gono regular. Se a \u00e1rea do c\u00edrculo inscrito no hex\u00e1gono \u00e9 3\u03c0 metros quadrados, ent\u00e3o a \u00e1rea do hex\u00e1gono, em metro quadrado, \u00e9 Resolu\u00e7\u00e3o Se a \u00e1rea do c\u00edrculo \u00e9 3\u03c0 [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":6803,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,97],"tags":[],"area-do-conhecimento":[118,132],"assunto":[50],"class_list":["post-6801","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-ppl","category-2018-questoes-ppl","area-do-conhecimento-matematica-e-suas-tecnologias","area-do-conhecimento-matematica","assunto-geometria-plana"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6801","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6801"}],"version-history":[{"count":1,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6801\/revisions"}],"predecessor-version":[{"id":6804,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6801\/revisions\/6804"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/6803"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6801"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6801"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}