{"id":7384,"date":"2012-02-12T18:29:26","date_gmt":"2012-02-12T18:29:26","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7384"},"modified":"2022-01-16T21:42:11","modified_gmt":"2022-01-16T21:42:11","slug":"um-robo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7384","title":{"rendered":"Um rob\u00f4"},"content":{"rendered":"<p><ul id='GTTabs_ul_7384' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7384' class='GTTabs_curr'><a  id=\"7384_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7384' ><a  id=\"7384_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_7384'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Um rob\u00f4 foi programado para dar 5 passos e girar\u00a0$30^\\circ $ para a direita.<\/p>\n<p>Quantos passos ele dar\u00e1 para voltar ao ponto de partida, P?<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7385\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7385\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot.jpg\" data-orig-size=\"437,240\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Rob\u00f4\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot-300x164.jpg\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot.jpg\" class=\"aligncenter wp-image-7385\" title=\"Rob\u00f4\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot.jpg\" alt=\"\" width=\"320\" height=\"176\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot.jpg 437w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot-300x164.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot-150x82.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robot-400x219.jpg 400w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7384' onClick='GTTabs_show(1,7384)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7384'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p style=\"text-align: center;\">Num pol\u00edgono convexo, qualquer que seja o n\u00famero de lados, a soma das amplitudes dos \u00e2ngulos externos \u00e9 $360^\\circ $.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7387\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7387\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono.jpg\" data-orig-size=\"338,280\" 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;}\" data-image-title=\"Rob\u00f4\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono-300x248.jpg\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono.jpg\" class=\"alignright wp-image-7387 size-full\" title=\"Rob\u00f4\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono.jpg\" alt=\"\" width=\"338\" height=\"280\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono.jpg 338w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono-300x248.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/robotpoligono-150x124.jpg 150w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/a>O rob\u00f4 descrever\u00e1 uma linha poligonal fechada, convexa e regular, cuja amplitude do \u00e2ngulo externo do pol\u00edgono tem $30^\\circ $ de amplitude.<\/p>\n<p>Sendo $n$ o n\u00famero de lados desse pol\u00edgono regular, temos:<\/p>\n<p style=\"text-align: center;\">$\\frac{{360^\\circ }}{n} = 30^\\circ\u00a0 \\Leftrightarrow n = 12$<\/p>\n<p>Logo, o rob\u00f4 dar\u00e1 $5 \\times 12 = 60$ passos para voltar ao ponto de partida.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7384' onClick='GTTabs_show(0,7384)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um rob\u00f4 foi programado para dar 5 passos e girar\u00a0$30^\\circ $ para a direita. Quantos passos ele dar\u00e1 para voltar ao ponto de partida, P? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,278],"tags":[426,283],"series":[],"class_list":["post-7384","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-poligono-regular"],"views":3530,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/02\/9V1Pag031-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7384","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=7384"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7384\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20420"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7384"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}