{"id":5626,"date":"2024-04-20T18:06:14","date_gmt":"2024-04-20T21:06:14","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=5626"},"modified":"2024-06-02T23:05:03","modified_gmt":"2024-06-03T02:05:03","slug":"questao-147-enem-ppl-2023","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-147-enem-ppl-2023\/","title":{"rendered":"Quest\u00e3o 147 &#8211; Enem PPL 2023"},"content":{"rendered":"\n<p class=\"has-text-align-center\">Quest\u00e3o 147 &#8211; Geometria Plana<\/p>\n\n\n\n<p>Segundo regras da Fifa, em um campo de futebol, a \u00e1rea penal \u00e9 a regi\u00e3o limitada pelo ret\u00e2ngulo ABCD, <strong>indicado na figura, cujo lado AB mede, aproximadamente, 16 m<\/strong>. O <strong>ponto penal P, equidistante dos lados AB e CD<\/strong>, <strong>fica localizado a 11 m do lado AD<\/strong>. O arco de circunfer\u00eancia, exterior \u00e0 regi\u00e3o penal, tem centro em P, e o raio mede, <strong>aproximadamente, 9 m<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"541\" height=\"262\" src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-9.png\" alt=\"\" class=\"wp-image-5627\" title=\"\" srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-9.png 541w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-9-300x145.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<p>De acordo com as medidas especificadas no texto e na figura, <strong>a dist\u00e2ncia EF entre as extremidades do arco de c\u00edrculo \u00e9<\/strong><\/p>\n\n\n\n<p>A) inferior a 7 m.<\/p>\n\n\n\n<p>B) superior a 7 m e inferior a 14 m.<\/p>\n\n\n\n<p>C) superior a 14 m e inferior a 19 m.<\/p>\n\n\n\n<p>D) superior a 19 m e inferior a 23 m.<\/p>\n\n\n\n<p>E) superior a 23 m.&nbsp;<\/p>\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>Temos a seguinte imagem de acordo com a descri\u00e7\u00e3o, na qual criamos o ponto M para calcular a dist\u00e2ncia de EF<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"680\" height=\"1024\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-10-680x1024.png\" alt=\"\" class=\"wp-image-5628 lazyload\" title=\"\" data-srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-10-680x1024.png 680w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-10-199x300.png 199w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-10-768x1156.png 768w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/04\/image-10.png 773w\" data-sizes=\"(max-width: 680px) 100vw, 680px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 680px; --smush-placeholder-aspect-ratio: 680\/1024;\" \/><\/figure>\n\n\n\n<p>EF = 2.MF<\/p>\n\n\n\n<p>Calculando por pit\u00e1goras temos que<\/p>\n\n\n\n<p>9\u00b2 = 5\u00b2 + MF\u00b2<\/p>\n\n\n\n<p>81 -25 = MF\u00b2<\/p>\n\n\n\n<p>MF\u00b2 = 56<\/p>\n\n\n\n<p>MF = \u221a56<\/p>\n\n\n\n<p>MF = 2\u221a14 = 2.3,7<\/p>\n\n\n\n<p>MF = 7,4<\/p>\n\n\n\n<p>Ent\u00e3o&nbsp;<\/p>\n\n\n\n<p>EF = 2.7,4<\/p>\n\n\n\n<p>EF = 14,8 m<\/p>\n\n\n\n<p><strong>Alternativa C<\/strong><\/p>\n\n\n\n<p>Veja a resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 147 - Caderno Azul |  | MATEM\u00c1TICA ENEM PPL 2023\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/b5CejAq565g?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Quest\u00e3o 147 &#8211; Geometria Plana Segundo regras da Fifa, em um campo de futebol, a \u00e1rea penal \u00e9 a regi\u00e3o limitada pelo ret\u00e2ngulo ABCD, indicado na figura, cujo lado AB mede, aproximadamente, 16 m. O ponto penal P, equidistante dos lados AB e CD, fica localizado a 11 m do lado AD. O arco de [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":5628,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,102],"tags":[],"area-do-conhecimento":[118,132],"assunto":[50],"class_list":["post-5626","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-ppl","category-2023-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\/5626","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=5626"}],"version-history":[{"count":1,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/5626\/revisions"}],"predecessor-version":[{"id":6474,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/5626\/revisions\/6474"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/5628"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=5626"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=5626"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=5626"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=5626"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=5626"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}