{"id":36925,"date":"2024-06-08T06:32:41","date_gmt":"2024-06-08T06:32:41","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=36925"},"modified":"2024-06-08T06:33:23","modified_gmt":"2024-06-08T06:33:23","slug":"what-is-the-sum-of-the-interior-angles-of-an-octagon","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/","title":{"rendered":"What is the sum of the interior angles of an octagon?"},"content":{"rendered":"

Question:-<\/strong>What is the sum of the interior angles of an octagon?<\/p>\n

Answer<\/strong><\/p>\n

Since an octagon is an eight-sided polygon and the sum of the interior angle of any polygon is given by the formula [n(n-3) x 180) \u00b0\/n where n is the number of sides, the sum of interior angles of an octagon is 1080\u00ba. To calculate the sum of the interior angles of any polygon, we can use the formula: Hence it is a fact that the sum of the interior angle in any polygon shall be equal to (n-2) \u00d7 180 degrees, where \u2018n\u2019 is the number of sides of the polygon. In the case of the octagon, the value n will be equal to eight which is not a surprise. Substituting this value in the formula, we get: Since any polygon can be split into triangles, let this polygon be interlinked with triangles by selecting one vertex and then linking it to all the other vertices.<\/p>\n

Using the triangle sum theorem, we have, Interior angle sum = [number of interior angles [ (8-2)] ] x 180 degrees<\/p>\n

This gives us, Interior angle sum = 6 x 180 degrees<\/p>\n

Interior angle sum = 1080 degrees<\/p>\n

By these measurements, the total of the interior angles of these triangles will come out as the total sum of the interior angles of the polygon.<\/p>\n

<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Question:-What is the sum of the interior angles of an octagon? Answer Since an octagon is an eight-sided polygon and the sum of the interior […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"yoast_head":"\nWhat is the sum of the interior angles of an octagon?<\/title>\n<meta name=\"description\" content=\"What is the sum of the interior angles of an octagon?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the sum of the interior angles of an octagon?\" \/>\n<meta property=\"og:description\" content=\"What is the sum of the interior angles of an octagon?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - Greatassignmenthelp.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Greatassignmenthelpus\" \/>\n<meta property=\"article:published_time\" content=\"2024-06-08T06:32:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-06-08T06:33:23+00:00\" \/>\n<meta name=\"author\" content=\"Jay Cooper\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:site\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jay Cooper\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\"},\"author\":{\"name\":\"Jay Cooper\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\"},\"headline\":\"What is the sum of the interior angles of an octagon?\",\"datePublished\":\"2024-06-08T06:32:41+00:00\",\"dateModified\":\"2024-06-08T06:33:23+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\"},\"wordCount\":223,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\",\"name\":\"What is the sum of the interior angles of an octagon?\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\"},\"datePublished\":\"2024-06-08T06:32:41+00:00\",\"dateModified\":\"2024-06-08T06:33:23+00:00\",\"description\":\"What is the sum of the interior angles of an octagon?\",\"breadcrumb\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"What is the sum of the interior angles of an octagon?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"name\":\"Questions - Greatassignmenthelp.com\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\",\"name\":\"greatassignmenthelp\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"contentUrl\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"width\":159,\"height\":52,\"caption\":\"greatassignmenthelp\"},\"image\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/Greatassignmenthelpus\",\"https:\/\/x.com\/assignmentgreat\",\"https:\/\/www.pinterest.com\/greatassignment\/\",\"https:\/\/www.linkedin.com\/company\/great-assignment-help\/\",\"https:\/\/www.instagram.com\/greatassignmenthelp\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\",\"name\":\"Jay Cooper\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"caption\":\"Jay Cooper\"},\"sameAs\":[\"https:\/\/www.greatassignmenthelp.com\/questions\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"What is the sum of the interior angles of an octagon?","description":"What is the sum of the interior angles of an octagon?","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/","og_locale":"en_US","og_type":"article","og_title":"What is the sum of the interior angles of an octagon?","og_description":"What is the sum of the interior angles of an octagon?","og_url":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/","og_site_name":"Questions - Greatassignmenthelp.com","article_publisher":"https:\/\/www.facebook.com\/Greatassignmenthelpus","article_published_time":"2024-06-08T06:32:41+00:00","article_modified_time":"2024-06-08T06:33:23+00:00","author":"Jay Cooper","twitter_card":"summary_large_image","twitter_creator":"@assignmentgreat","twitter_site":"@assignmentgreat","twitter_misc":{"Written by":"Jay Cooper","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#article","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/"},"author":{"name":"Jay Cooper","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e"},"headline":"What is the sum of the interior angles of an octagon?","datePublished":"2024-06-08T06:32:41+00:00","dateModified":"2024-06-08T06:33:23+00:00","mainEntityOfPage":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/"},"wordCount":223,"commentCount":0,"publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/","name":"What is the sum of the interior angles of an octagon?","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website"},"datePublished":"2024-06-08T06:32:41+00:00","dateModified":"2024-06-08T06:33:23+00:00","description":"What is the sum of the interior angles of an octagon?","breadcrumb":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-sum-of-the-interior-angles-of-an-octagon\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.greatassignmenthelp.com\/questions\/"},{"@type":"ListItem","position":2,"name":"What is the sum of the interior angles of an octagon?"}]},{"@type":"WebSite","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","name":"Questions - Greatassignmenthelp.com","description":"","publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization","name":"greatassignmenthelp","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","contentUrl":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","width":159,"height":52,"caption":"greatassignmenthelp"},"image":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/Greatassignmenthelpus","https:\/\/x.com\/assignmentgreat","https:\/\/www.pinterest.com\/greatassignment\/","https:\/\/www.linkedin.com\/company\/great-assignment-help\/","https:\/\/www.instagram.com\/greatassignmenthelp"]},{"@type":"Person","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e","name":"Jay Cooper","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","caption":"Jay Cooper"},"sameAs":["https:\/\/www.greatassignmenthelp.com\/questions"]}]}},"_links":{"self":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/36925"}],"collection":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/comments?post=36925"}],"version-history":[{"count":1,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/36925\/revisions"}],"predecessor-version":[{"id":36926,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/36925\/revisions\/36926"}],"wp:attachment":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/media?parent=36925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/categories?post=36925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/tags?post=36925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}