{"id":13444,"date":"2018-02-03T14:56:09","date_gmt":"2018-02-03T14:56:09","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13444"},"modified":"2022-01-17T15:54:18","modified_gmt":"2022-01-17T15:54:18","slug":"numa-circunferencia-com-12-cm-de-raio-esta-inscrito-um-quadrado","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13444","title":{"rendered":"Numa circunfer\u00eancia com 12 cm de raio est\u00e1 inscrito um quadrado"},"content":{"rendered":"<p><ul id='GTTabs_ul_13444' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13444' class='GTTabs_curr'><a  id=\"13444_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13444' ><a  id=\"13444_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_13444'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Numa circunfer\u00eancia com 12 cm de raio est\u00e1 inscrito um quadrado.<\/p>\n<p>Determina:<\/p>\n<ol>\n<li>o per\u00edmetro do c\u00edrculo;<\/li>\n<li>a \u00e1rea do c\u00edrculo;<\/li>\n<li>a \u00e1rea do quadrado;<\/li>\n<li>a \u00e1rea do setor circular cujo \u00e2ngulo ao centro tem 90 graus de amplitude.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13444' onClick='GTTabs_show(1,13444)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13444'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"float: right;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": 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is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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','data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWgAAAA+CAMAAAAxm3G5AAACPVBMVEUAAAD\/\/\/\/Ly8v\/\/\/+UlJT\/\/\/\/\/\/\/\/\/\/\/\/z8\/P\/\/\/+wsLDi4uJubm78\/Pz4+Pj\/\/\/\/\/\/\/\/\/\/\/96enrs7Oy+vr7\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/X19eGhoaUlJT\/\/\/\/\/\/\/+hoaH\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\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','data:image\/png;base64,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');\r\n<\/script><\/p>\n<ol>\n<li>Em cent\u00edmetros, o per\u00edmetro do c\u00edrculo \u00e9:<br \/>\n\\[{P_\\bigcirc } = 2\\pi \\times 12 = 24\\pi \\]<\/li>\n<li>Em cent\u00edmetros quadrados, a \u00e1rea do c\u00edrculo \u00e9:<br \/>\n\\[{A_\\bigcirc } = \\pi \\times {12^2} = 144\\pi \\]<\/li>\n<li>Em cent\u00edmetros quadrados, a \u00e1rea do quadrado \u00e9:<br \/>\n\\[\\begin{array}{*{20}{l}}{{A_{\\left[ {ABCD} \\right]}}}&amp; = &amp;{2 \\times {A_{\\left[ {ABC} \\right]}}}\\\\{}&amp; = &amp;{2 \\times \\frac{{\\overline {AC} \\times \\overline {BO} }}{2}}\\\\{}&amp; = &amp;{2 \\times \\frac{{24 \\times 12}}{2}}\\\\{}&amp; = &amp;{288}\\end{array}\\]<\/li>\n<li>Em cent\u00edmetros quadrados, a \u00e1rea do setor circular \u00e9:<br \/>\n\\[{A_{Setor}} = \\frac{{90^\\circ }}{{360^\\circ }} \\times {A_\\bigcirc } = \\frac{1}{4} \\times 144\\pi = 36\\pi \\]<\/li>\n<\/ol>\n<p><strong>Nota<\/strong>:<br \/>\nNo ponto 3., a tend\u00eancia natural ser\u00e1 come\u00e7ar por determinar o comprimento do lado do quadrado e, seguidamente, determinar a sua \u00e1rea, conforme se apresenta.<\/p>\n<p>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo [OAB], temos:<\/p>\n<p>\\[\\overline {AB} = \\sqrt {{{\\overline {OA} }^2} + {{\\overline {OB} }^2}} = \\sqrt {{{12}^2} + {{12}^2}} = 12\\sqrt 2 = \\sqrt {288} \\]<\/p>\n<p>Logo, a \u00e1rea do quadrado, em cent\u00edmetros quadrados, \u00e9:<\/p>\n<p>\\[{A_{\\left[ {ABCD} \\right]}} = \\overline {AB} \\times \\overline {AB} = {\\left( {\\sqrt {288} } \\right)^2} = 288\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13444' onClick='GTTabs_show(0,13444)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Numa circunfer\u00eancia com 12 cm de raio est\u00e1 inscrito um quadrado. Determina: o per\u00edmetro do c\u00edrculo; a \u00e1rea do c\u00edrculo; a \u00e1rea do quadrado; a \u00e1rea do setor circular cujo \u00e2ngulo&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20500,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,278],"tags":[426,188,284],"series":[],"class_list":["post-13444","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-circunferencia-e-poligonos","tag-9-o-ano","tag-circunferencia","tag-setor-circular"],"views":2014,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag145-11_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13444","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=13444"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13444\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20500"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13444"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}