{"id":96603,"date":"2017-01-25T17:21:41","date_gmt":"2017-01-25T19:21:41","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=96603"},"modified":"2026-06-02T17:08:43","modified_gmt":"2026-06-02T19:08:43","slug":"angulos","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/angulos","title":{"rendered":"\u00c2ngulos"},"content":{"rendered":"

\u00c2ngulos – Defini\u00e7\u00e3o<\/b><\/p>\n

Denomina-se\u00a0\u00e2ngulo<\/strong>\u00a0a uni\u00e3o\u00a0de duas semirretas de mesma origem com a regi\u00e3o do plano delimitada por essas semirretas.<\/p>\n

Quando as semirretas n\u00e3o forem opostas nem coincidentes, os \u00e2ngulos determinados por elas podem ser classificados em convexos ou c\u00f4ncavos.<\/p>\n

\u00c2ngulos – O que \u00e9<\/b><\/p>\n

Um \u00e2ngulo \u00e9 formado quando duas linhas retas ou semirretas se encontram em um ponto comum. Esse ponto de encontro \u00e9 chamado de v\u00e9rtice do \u00e2ngulo. A palavra \u00e2ngulo vem do latim “angulus<\/em>“, que significa “canto”.<\/p>\n

Um\u00a0\u00e2ngulo\u00a0<\/b>\u00e9 a regi\u00e3o do plano formada pelo encontro de duas semirretas que possuem a mesma origem\u00a0 (v\u00e9rtice). O ponto de encontro \u00e9 o v\u00e9rtice, e as semirretas s\u00e3o os lados. Eles s\u00e3o fundamentais na geometria e sua medida \u00e9 expressa em graus (\u00b0).<\/p>\n

Um \u00e2ngulo \u00e9 c\u00f4ncavo quando existem dois pontos M e N de sua regi\u00e3o interior tais que o segmento MN possui pontos na regi\u00e3o exterior.<\/p>\n

\u00c2NGULO:\u00a0<\/strong>Do latim \u2013 angulu (canto, esquina), do grego \u2013 gonas; reuni\u00e3o de duas semirretas de mesma origem n\u00e3o colineares.<\/div>\n
\n

\"\u00c2ngulos\"<\/p>\n

\u00c2NGULO AGUDO: <\/strong>\u00c9 o \u00e2ngulo, cuja medida \u00e9 menor do que 90\u00ba.<\/p>\n

\"\u00c2ngulos\"<\/p>\n

\u00c2NGULO CENTRAL:<\/strong><\/p>\n

\n

1 –<\/strong> Da circunfer\u00eancia:<\/strong> \u00e9 o \u00e2ngulo cujo v\u00e9rtice \u00e9 o centro da circunfer\u00eancia<\/p>\n

2 –<\/strong> Do pol\u00edgono: <\/strong>\u00e9 o \u00e2ngulo, cujo v\u00e9rtice \u00e9 o centro do pol\u00edgono regular e cujos lados passam por v\u00e9rtices consecutivos do pol\u00edgono.<\/p>\n<\/blockquote>\n

\"\u00c2ngulos\"<\/p>\n

\u00c2NGULO CIRCUNSCRITO: <\/strong>\u00c9 o \u00e2ngulo, cujo v\u00e9rtice n\u00e3o pertence \u00e0 circunfer\u00eancia e os lados s\u00e3o tangentes \u00e0 ela.<\/p>\n

\"\u00c2ngulos\"<\/p>\n

\u00c2NGULO INSCRITO:<\/strong> \u00c9 o \u00e2ngulo cujo v\u00e9rtice pertence a uma circunfer\u00eancia e seus lados s\u00e3o secantes a ela.<\/p>\n

\"\u00c2ngulos\"<\/p>\n

\u00c2NGULO OBTUSO: <\/strong>\u00c9 o \u00e2ngulo cuja medida \u00e9 maior do que 90\u00ba.<\/p>\n

\"\u00c2ngulos\"<\/p>\n

\n<\/div>\n

S\u00edmbolo de \u00c2ngulo<\/b><\/p>\n

O s\u00edmbolo \"\u00c2ngulos\"\u00a0representa um \u00e2ngulo. Os \u00e2ngulos s\u00e3o medidos em graus (\u00b0) usando um transferidor.<\/p>\n

Por exemplo, 45 graus \u00e9 representado como 45\u00b0.<\/p>\n

\"\u00c2ngulos\"<\/p>\n

Partes de um \u00c2ngulo<\/b><\/p>\n

V\u00e9rtice:<\/b>\u00a0Um v\u00e9rtice \u00e9 um canto de um \u00e2ngulo, um ponto onde duas linhas\/lados se encontram. O \u00e9 o v\u00e9rtice na figura dada.
\nLados:<\/b>\u00a0Os dois lados do \u00e2ngulo, unidos em um ponto comum. OA e OB s\u00e3o os bra\u00e7os de um \u00e2ngulo.
\nLado Inicial:<\/b>\u00a0Tamb\u00e9m conhecido como linha de refer\u00eancia, uma linha reta a partir da qual um \u00e2ngulo \u00e9 tra\u00e7ado. OB \u00e9 a linha de refer\u00eancia.
\nLado Terminal:\u00a0<\/b>O lado at\u00e9 o qual a medida do \u00e2ngulo \u00e9 feita. No diagrama abaixo, OA \u00e9 o lado terminal.<\/p>\n

Tipos de \u00e2ngulos<\/b><\/p>\n

Com base em suas medidas, aqui est\u00e3o os diferentes tipos de \u00e2ngulos:<\/b><\/p>\n

Um \u00e2ngulo agudo mede menos de 90\u00b0 no v\u00e9rtice.
\nUm \u00e2ngulo obtuso mede entre 90\u00b0 e 180\u00b0.
\nUm \u00e2ngulo reto mede exatamente 90\u00b0 no v\u00e9rtice.
\nUm \u00e2ngulo que mede exatamente 180\u00b0 \u00e9 um \u00e2ngulo raso.
\nUm \u00e2ngulo reflexo mede entre 180\u00b0 e 360\u00b0.
\nUm \u00e2ngulo completo mede 360\u00b0.<\/p>\n

\"\u00c2ngulo\"\u00c2ngulo agudo<\/b><\/p>\n

\"\u00c2ngulo\"\u00c2ngulo reto<\/b><\/p>\n

\"\u00c2ngulo\"\u00c2ngulo Obtuso<\/b><\/p>\n

\"\u00c2ngulo\"\u00c2ngulo Direto<\/b><\/p>\n

\"\u00c2ngulo\"\u00c2ngulo Reflexo<\/b><\/p>\n

\"\u00c2ngulo\"\u00c2ngulo Completo<\/b><\/p>\n

Fonte:<\/strong> Col\u00e9gio S\u00e3o Francisco\/www.splashlearn.com<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u00c2ngulos – Defini\u00e7\u00e3o Denomina-se\u00a0\u00e2ngulo\u00a0a uni\u00e3o\u00a0de duas semirretas de mesma origem com a regi\u00e3o do plano delimitada por essas semirretas. Quando as semirretas n\u00e3o forem opostas nem coincidentes, os \u00e2ngulos determinados por elas podem ser classificados em convexos ou c\u00f4ncavos. \u00c2ngulos – O que \u00e9 Um \u00e2ngulo \u00e9 formado quando duas linhas retas ou semirretas se […]<\/p>\n","protected":false},"author":3,"featured_media":114137,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-96603","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica"],"acf":[],"yoast_head":"\n\u00c2ngulos, Geometria, Regi\u00e3o, Plano \u00c2ngulos<\/title>\n<meta name=\"description\" content=\"\u00c2ngulos, Geometria, Regi\u00e3o, Plano, Agudo, Central, Obtuso, C\u00f4ncavos, Convexos, Defini\u00e7\u00e3o, O que \u00e9, \u00c2ngulos\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, 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