{"id":1618,"date":"2022-04-21T08:32:25","date_gmt":"2022-04-21T08:32:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1618"},"modified":"2024-02-18T15:37:59","modified_gmt":"2024-02-18T15:37:59","slug":"octagon-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon","title":{"rendered":"Octagon &#8211; Definition With Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-0a4aeac6-b026-4f13-8fe4-cf55c2e226ec\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#0-what-is-an-ocatgon-shape>What is an Ocatgon Shape?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#1-types-of-octagons->Types of Octagons<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#3-regular-octagon->Regular Octagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#4-irregular-octagon->Irregular Octagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#10-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon#11-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon-shape.png\" alt=\"An octagon shape\" class=\"wp-image-40061\" title=\"An octagon shape\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon-shape.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon-shape-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-an-ocatgon-shape\">What is an Ocatgon Shape?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Hey! I am an <strong>OCTAGON SHAPE.<\/strong> I belong to the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\">POLYGON<\/a> family. Now, what is a polygon? Very simple. It is a closed plane figure with at least three straight sides and angles, typically five or more. You are already familiar with some of my family members, like the triangle and the square.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">I&#8217;m sure you have all seen a stop octagonal sign; it is red and vehicles stop when they see this sign. A stop sign is generally in the an <strong>octagon shape<\/strong>\u2014a closed two-dimensional figure with eight sides and eight vertices.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/real-life-example-of-octagon.png\" alt=\"Real life example of octagon\" class=\"wp-image-40063\" title=\"Real life example of octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/real-life-example-of-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/real-life-example-of-octagon-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Properties of an Octagon<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon.png\" alt=\"An octagon\" class=\"wp-image-40064\" title=\"An octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagon-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It is a polygon with eight sides and eight angles.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">There are a total of 20 <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/diagonal\">diagonals<\/a> in it.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All its interior angles sum up to 1080\u00b0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The sum of its all the exterior angles is 360\u00b0.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-types-of-octagons-\"><strong>Types of Octagons<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Depending on the measure of the sides and angles, octagons can be classified into the following types:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Regular and Irregular Octagons<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Convex and Concave Octagons<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-regular-and-irregular-octagons-\"><strong>Regular and Irregular Octagons<\/strong><\/h2>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-regular-octagon-\"><strong>Regular Octagon<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A <strong>regular octagon shape <\/strong>has eight equal sides and eight equal angles. All the sides are of equal <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/length\">length<\/a>, and all the angles are of equal measure. The sum of the interior angles is 1080\u00b0, and the sum of the exterior angles is 360\u00b0. In a regular octagon, the interior angle at each vertex is 135\u00b0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/interior-angles-of-a-regular-octagon.png\" alt=\"Interior angles of a regular octagon\" class=\"wp-image-40065\" title=\"Interior angles of a regular octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/interior-angles-of-a-regular-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/interior-angles-of-a-regular-octagon-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-irregular-octagon-\"><strong>Irregular Octagon<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In an <strong>irregular octagon shape<\/strong>, the eight sides and eight angles are unequal. All the sides are not equal in length, and all the angles are not equal in measure. Though the interior angles are of different measures, they still add up to 1080\u00b0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"308\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-irregular-octagon.png\" alt=\"An irregular octagon\" class=\"wp-image-40066\" title=\"An irregular octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-irregular-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-irregular-octagon-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-convex-and-concave-octagons-\"><strong>Convex and Concave Octagons<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Convex Octagon<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">An octagon that has all its angles pointing outside or no angles pointing inwards is a convex octagon shape. Convex octagons bulge outwards. None of the interior angles is greater than 180\u00b0 in a convex octagon.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-convex-octagon.png\" alt=\"A convex octagon\" class=\"wp-image-40067\" title=\"A convex octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-convex-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-convex-octagon-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Concave Octagon<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The octagon in which at least one of the angles points inwards is a concave octagon shape. A concave octagon have atleast one edge pointing towards inwards. This means that at least one of the interior angles is greater than 180\u00b0 in a concave octagon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-concave-octagon.png\" alt=\"A concave octagon\" class=\"wp-image-40068\" title=\"A concave octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-concave-octagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-concave-octagon-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-fun-facts-\"><strong>Fun Facts<\/strong><\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><em>&nbsp;The word \u201coctagon\u201d has been derived from the Greek word <\/em>\u1f40\u03ba\u03c4\u03ac\u03b3\u03c9\u03bd\u03bf\u03bd<em> (<\/em>okt\u00e1g\u014dnon<em>), which means eight angles. This is how the shape with eight angles was named octagon.<\/em><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><em>During the 1850s and 1900s, many people started building their homes in the shape of an octagon as it is a symbol that represents rebirth, infinity, regeneration, and transition.<\/em><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><em>Umbrellas often have an octagonal-shaped outline.<\/em><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"367\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagonal-umbrella.png\" alt=\"An octagonal umbrella\" class=\"wp-image-40069\" title=\"An octagonal umbrella\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagonal-umbrella.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/an-octagonal-umbrella-300x178.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-perimeter-of-an-octagon-\"><strong>Perimeter of an Octagon<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\">perimeter<\/a> of a two-dimensional shape is the total length of the boundary. It is the sum of the length of all sides.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"8-perimeter-of-a-regular-octagon-\"><strong>Perimeter of a Regular Octagon<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate the perimeter of a <strong>regular octagon shape <\/strong>= 8 \u2715 side.<em> <\/em>Here, \u201cside\u201d refers to the length of the equal sides of a regular octagon.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"9-perimeter-of-an-irregular-octagon-\"><strong>Perimeter of an Irregular Octagon<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper\">For an <strong>irregular octagon shape<\/strong>, the perimeter is calculated by adding together the individual side lengths. So, the perimeter would be the sum of the lengths of all 8 sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solved Examples<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1. If the length of the side of a regular octagon is 10 cm, find its perimeter.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong><strong><em>:<\/em><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The length of the side of the given regular octagon is 10 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate the perimeter of a regular octagon is 8 \u2715 side.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the perimeter of the given regular<strong> <\/strong>octagon = 8 \u2715 10 = 80 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2. If the perimeter of a regular octagon is 200 cm, find the length of its side.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of the regular octagon is 200 cm (given).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate the perimeter of a regular octagon is 8 \u2715 side.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, we have,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">8 \u2715 side = 200<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Side =&nbsp;$\\frac{200}{8}$ &nbsp;= 25 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3. Find the perimeter of an irregular octagon whose side lengths are 6 cm, 16 cm, 14 cm, 20 cm, 12 cm, 8 cm, 10 cm, and 18 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The side lengths of the given irregular octagon are 6 cm, 16 cm, 14 cm, 20 cm, 12 cm, 8 cm, 10 cm, and 18 cm (given).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of the irregular octagon would be the sum of the lengths of all 8 sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Perimeter = (6 + 16 + 14 + 20 + 12 + 8 + 10 + 18) cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the perimeter of the given irregular octagon = 104 cm.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Octagon - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Identify the type of octagon given below.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-PPs-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Regular Octagon<\/div><div class=\"spq_answer_block\" data-value=\"1\">Irregular Octagon<\/div><div class=\"spq_answer_block\" data-value=\"2\">Concave Octagon<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Irregular Octagon<br\/>This is because the sides are not of equal length.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If the length of each side of a regular octagon is 20 cm, find its perimeter.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">200 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">100 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">180 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">160 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 160 cm<br\/>Formula for perimeter of regular octagon = $8$ \u2715 $side$.<br>\r\nTherefore, perimeter of the given regular octagon = $8$ \u2715 $20$ = $160$ cm.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Each interior angle of a regular octagon is ________________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">135\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">160\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">1080\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">360\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 135\u00b0<br\/>The measure of each interior angle of a regular octagon is 135\u00b0.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the perimeter of an irregular octagon whose side lengths are 3 cm, 7 cm, 8 cm, 5 cm, 4 cm, 6 cm, 10 cm, and 9 cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">50 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">72 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">52 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">34 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 52 cm<br\/>The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$ cm<br>\r\nPerimeter $= 52$ cm.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        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      }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Irregular Octagon\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"This is because the sides are not of equal length.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"This is because the sides are not of equal length.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the length of each side of a regular octagon is 20 cm, find its perimeter.\",\n                    \"text\": \"If the length of each side of a regular octagon is 20 cm, find its perimeter.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"200 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"180 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"160 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Formula for perimeter of regular octagon = $$8$$ \u2715 $$side$$.<br>\r\nTherefore, perimeter of the given regular octagon = $$8$$ \u2715 $$20$$ = $$160$$ cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each interior angle of a regular octagon is ________________.\",\n                    \"text\": \"Each interior angle of a regular octagon is ________________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"160\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1080\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"360\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"135\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The measure of each interior angle of a regular octagon is 135\u00b0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of an irregular octagon whose side lengths are 3 cm, 7 cm, 8 cm, 5 cm, 4 cm, 6 cm, 10 cm, and 9 cm.\",\n                    \"text\": \"Find the perimeter of an irregular octagon whose side lengths are 3 cm, 7 cm, 8 cm, 5 cm, 4 cm, 6 cm, 10 cm, and 9 cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"72 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"34 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"52 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The perimeter of an irregular octagon would be the sum of the lengths of all 8 sides.<br>\r\nPerimeter $$= (3 + 7 + 8 + 5 + 4 + 6 + 10 + 9)$$ cm<br>\r\nPerimeter $$= 52$$ cm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a0756822-45fb-49b5-b800-d8e0a2830d05\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-a0756822-45fb-49b5-b800-d8e0a2830d05\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a0756822-45fb-49b5-b800-d8e0a2830d05\"><strong>Are all eight-sided shapes called octagons?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a0756822-45fb-49b5-b800-d8e0a2830d05\">\n\n<p>An eight-sided shape is an octagon only if the shape is closed and made up of straight lines.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-a0756822-45fb-49b5-b800-d8e0a2830d05\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a0756822-45fb-49b5-b800-d8e0a2830d05\"><strong>What is the sum of the angles of an irregular octagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-a0756822-45fb-49b5-b800-d8e0a2830d05\">\n\n<p>The angles of the irregular octagon are unequal. Still, they measure up to a sum of 1080\u00b0. This is the same as a regular octagon.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-a0756822-45fb-49b5-b800-d8e0a2830d05\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a0756822-45fb-49b5-b800-d8e0a2830d05\"><strong>What are the differences between a convex octagon and a concave octagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-a0756822-45fb-49b5-b800-d8e0a2830d05\">\n\n<p><strong>Convex Octagon: <\/strong>A convex octagon<strong> <\/strong>has all its angles pointing outside. In other words, no angles point inwards. Convex octagons bulge outwards. None of the interior angles is greater than 180\u00b0.<\/p>\n\n\n\n<p><strong>Concave Octagon: <\/strong>A concave octagon has one of the angles point inwards. At least one of its interior angles is greater than 180\u00b0.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is an Ocatgon Shape? Hey! I am an OCTAGON SHAPE. I belong to the POLYGON family. Now, what is a polygon? Very simple. It is a closed plane figure with at least three straight sides and angles, typically five or more. You are already familiar with some of my family members, like the triangle &#8230; <a title=\"Octagon &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagon\" aria-label=\"More on Octagon &#8211; Definition With Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1618","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1618","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1618"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1618\/revisions"}],"predecessor-version":[{"id":40070,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1618\/revisions\/40070"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1618"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1618"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1618"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}