{"id":14167,"date":"2018-03-30T16:27:34","date_gmt":"2018-03-30T15:27:34","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14167"},"modified":"2022-01-11T11:18:33","modified_gmt":"2022-01-11T11:18:33","slug":"uma-corda-bc","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14167","title":{"rendered":"Uma corda [BC]"},"content":{"rendered":"<p><ul id='GTTabs_ul_14167' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14167' class='GTTabs_curr'><a  id=\"14167_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14167' ><a  id=\"14167_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_14167'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14168\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14168\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\" data-orig-size=\"280,245\" 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\/03\/9V2Pag60-2.png\" class=\"alignright size-full wp-image-14168\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\" alt=\"\" width=\"280\" height=\"245\" \/><\/a>Uma corda [<em>BC<\/em>] forma um \u00e2ngulo de 30 graus com o di\u00e2metro [<em>AB<\/em>] de uma circunfer\u00eancia, como v\u00eas na figura.<\/p>\n<p>Qual \u00e9 o comprimento da corda [<em>AC<\/em>], sabendo que o raio da circunfer\u00eancia mede 1,5 cm?\u00a0Explica como chegaste \u00e0 tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14167' onClick='GTTabs_show(1,14167)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14167'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14168\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14168\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\" data-orig-size=\"280,245\" 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\/03\/9V2Pag60-2.png\" class=\"alignright size-full wp-image-14168\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2.png\" alt=\"\" width=\"280\" height=\"245\" \/><\/a>No tri\u00e2ngulo ret\u00e2ngulo [<em>ABC<\/em>] (Porqu\u00ea?), temos\u00a0\\({\\mathop{\\rm sen}\\nolimits} A\\widehat BC = \\frac{{\\overline {AC} }}{{\\overline {AB} }}\\), donde:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{\\mathop{\\rm sen}\\nolimits} 30^\\circ = \\frac{{\\overline {AC} }}{{2 \\times 1,5}}}&amp; \\Leftrightarrow &amp;{\\frac{1}{2} = \\frac{{\\overline {AC} }}{3}}\\\\{}&amp; \\Leftrightarrow &amp;{\\overline {AC} = \\frac{3}{2}}\\end{array}\\]<\/p>\n<p>Portanto, a corda [<em>AC<\/em>] tem 1,5 cm de comprimento.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14167' onClick='GTTabs_show(0,14167)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma corda [BC] forma um \u00e2ngulo de 30 graus com o di\u00e2metro [AB] de uma circunfer\u00eancia, como v\u00eas na figura. Qual \u00e9 o comprimento da corda [AC], sabendo que o raio&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14169,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,493,490],"series":[],"class_list":["post-14167","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-trigonometria-9--ano","tag-9-o-ano","tag-razao-trigonometrica","tag-seno"],"views":3144,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag60-2a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14167","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=14167"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14167\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14169"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14167"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}