{"id":24014,"date":"2022-12-29T16:45:43","date_gmt":"2022-12-29T16:45:43","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24014"},"modified":"2023-01-17T23:30:11","modified_gmt":"2023-01-17T23:30:11","slug":"dois-circulos-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24014","title":{"rendered":"Dois c\u00edrculos"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24014' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24014' class='GTTabs_curr'><a  id=\"24014_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24014' ><a  id=\"24014_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_24014'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual \u00e9 a medida do raio da imagem, por uma transla\u00e7\u00e3o, de um c\u00edrculo com 1000 cm<sup>2<\/sup> de \u00e1rea?<br \/>Explica a tua resposta.<br \/>Apresenta o resultado em cent\u00edmetros, arredondado \u00e0s d\u00e9cimas.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24014' onClick='GTTabs_show(1,24014)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24014'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Qual \u00e9 a medida do raio da imagem, por uma transla\u00e7\u00e3o, de um c\u00edrculo com 1000 cm<sup>2<\/sup> de \u00e1rea?<br \/>Explica a tua resposta.<br \/>Apresenta o resultado arredondado \u00e0s d\u00e9cimas.<\/p>\n<\/blockquote>\n<p>Como a transla\u00e7\u00e3o \u00e9 uma isometria, ent\u00e3o os dois c\u00edrculos s\u00e3o geometricamente iguais.<\/p>\n<p>Recordemos que a \u00e1rea de um c\u00edrculo pode ser expressa por \\(A = \\pi \\times {r^2}\\).<\/p>\n<p>Assim, a medida do raio da imagem \u00e9 \\(r = \\sqrt {\\frac{{1000}}{\\pi }} \\approx 17,8\\) cm.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24014' onClick='GTTabs_show(0,24014)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 a medida do raio da imagem, por uma transla\u00e7\u00e3o, de um c\u00edrculo com 1000 cm2 de \u00e1rea?Explica a tua resposta.Apresenta o resultado em cent\u00edmetros, arredondado \u00e0s d\u00e9cimas. Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19442,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,692,381,688],"series":[],"class_list":["post-24014","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-isometrias","tag-8-o-ano","tag-geometria","tag-propriedades-da-translacao","tag-translacao","tag-vetores"],"views":94,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/Circulo_preto.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24014","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24014"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24014\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19442"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24014"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24014"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24014"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24014"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}