{"id":13472,"date":"2018-02-04T20:53:56","date_gmt":"2018-02-04T20:53:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13472"},"modified":"2022-01-17T16:28:51","modified_gmt":"2022-01-17T16:28:51","slug":"uma-circunferencia-um-triangulo-e-um-quadrado","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13472","title":{"rendered":"Uma circunfer\u00eancia, um tri\u00e2ngulo e um quadrado"},"content":{"rendered":"<p><ul id='GTTabs_ul_13472' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13472' class='GTTabs_curr'><a  id=\"13472_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13472' ><a  id=\"13472_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_13472'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13473\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13473\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" data-orig-size=\"230,235\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Circunfer\u00eancia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" class=\"alignright size-full wp-image-13473\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" alt=\"\" width=\"230\" height=\"235\" \/><\/a>Na figura, est\u00e1 representada uma circunfer\u00eancia de centro no ponto O. Est\u00e3o tamb\u00e9m representados o tri\u00e2ngulo [AEF] e o quadrado [ABCD], cujos v\u00e9rtices pertencem \u00e0 circunfer\u00eancia.<\/p>\n<ol>\n<li>Identifica, usando as letras da figura, dois pontos pertencentes \u00e0 mediatriz do segmento de reta [BD].<\/li>\n<li>Sabe-se que a amplitude do \u00e2ngulo EAF \u00e9 60 graus e a amplitude do arco FD \u00e9 20 graus.<br \/>\nDetermina a amplitude, em graus, do arco BE.<br \/>\nMostra como chegaste \u00e0 tua resposta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13472' onClick='GTTabs_show(1,13472)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13472'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>A, O e C s\u00e3o pontos pertencentes \u00e0 mediatriz do segmento de reta [BD].<br \/>\n\u00ad<\/li>\n<li>\\(\\overparen{BE} = \\overparen{BD} &#8211; \\overparen{EF} &#8211; \\overparen{FD} = 180^\\circ &#8211; 2 \\times E\\widehat AF &#8211; \\overparen{FD} = 180^\\circ &#8211; 2 \\times 60^\\circ &#8211; 20^\\circ = 40^\\circ \\)<\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13473\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13473\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" data-orig-size=\"230,235\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Circunfer\u00eancia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" class=\"alignright size-full wp-image-13473\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7.png\" alt=\"\" width=\"230\" height=\"235\" \/><\/a><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13472' onClick='GTTabs_show(0,13472)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura, est\u00e1 representada uma circunfer\u00eancia de centro no ponto O. Est\u00e3o tamb\u00e9m representados o tri\u00e2ngulo [AEF] e o quadrado [ABCD], cujos v\u00e9rtices pertencem \u00e0 circunfer\u00eancia. Identifica, usando as letras da&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20507,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,278],"tags":[426,280,188],"series":[],"class_list":["post-13472","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-angulo-inscrito","tag-circunferencia"],"views":2792,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V1Pag151-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13472","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=13472"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13472\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20507"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13472"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}