{"id":25972,"date":"2023-03-07T09:02:04","date_gmt":"2023-03-07T09:02:04","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=25972"},"modified":"2024-02-20T18:17:41","modified_gmt":"2024-02-20T18:17:41","slug":"dodecagon","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon","title":{"rendered":"Dodecagon"},"content":{"rendered":"<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-599f5d90-00b4-42bd-95d3-8c2e52eb672f\" 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\/dodecagon#0-what-is-a-dodecagon>What is a Dodecagon?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon#2-types-of-dodecagons>Types of Dodecagons<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon#10-area-of-a-dodecagon>Area of a Dodecagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon#13-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon#14-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon#15-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-dodecagon\">What is a Dodecagon?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A polygon is a two-dimensional closed geometric figure with a finite number of sides. The sides of a polygon are made of line segments. We need a minimum of three line segments to make a polygon. You may have come across polygons in your daily routine. Polygons like triangles, quadrilaterals, and more. One such type of polygon is a <strong>dodecagon<\/strong> with 12 sides. And in this article, we shall explore the definition of dodecagon and more.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-definition-of-dodecagon\">Definition of Dodecagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In geometry, a 12-sided polygon is called a dodecagon. It also has twelve vertices and twelve interior angles. Let\u2019s take a look at some of the examples of dodecagon in the figure below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"304\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/dodecagon.png\" alt=\"Dodecagon\" class=\"wp-image-40670\" title=\"Dodecagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/dodecagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/dodecagon-300x147.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Based on the sides and angles, a dodecagon can be classified as a regular or irregular polygon and a convex or concave polygon. Let us now discuss the types of a dodecagon in detail.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-types-of-dodecagons\">Types of Dodecagons<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">On the basis of the side length and the angle measures, we can classify a dodecagon as regular and irregular dodecagons.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-regular-and-irregular-dodecagons\">Regular and Irregular Dodecagons<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The 12 sided shape is regular when all the dodecagon sides and internal angles of the dodecagon are equal in measure. The 12 vertices of the polygon lie at an equal distance from the center. Each interior angle of this polygon measures 150 degrees. A regular <strong>dodecagon<\/strong> is one in which the vertices are spaced equally around a circle.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As the name suggests, in an irregular dodecagon, not all 12 sides of the polygon are identical in an irregular dodecagon. Due to the asymmetrical pattern of such dodecagons, even its 12 angles may vary from each other.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The following figure shows a regular and an irregular dodecagon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"451\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-v-irregular-dodecagon.png\" alt=\"Regular v. irregular dodecagon\" class=\"wp-image-40671\" title=\"Regular v. irregular dodecagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-v-irregular-dodecagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-v-irregular-dodecagon-300x218.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-concave-and-convex-dodecagon\">Concave and Convex Dodecagon<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">When any one of the interior angles of the polygon is greater than 180, we get a concave dodecagon. One or more of the vertices of such a dodecagon may point towards the center. A convex dodecagon, on the other hand, has all the interior angles less than $180^\\circ$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"584\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/concave-and-convex-dodecagon.png\" alt=\"Concave and convex dodecagon\" class=\"wp-image-40672\" title=\"Concave and convex dodecagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/concave-and-convex-dodecagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/concave-and-convex-dodecagon-300x283.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">There is much to discuss regarding a <strong>dodecagon. <\/strong>In the following paragraphs, we will dive into a dodecagon\u2019s properties, area, and perimeter.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-properties-of-a-dodecagon\">Properties of a Dodecagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A dodecagon is a 12-sided polygon. Basically, it is a polygon made up of 12 sides, 12 angles, and 12 vertices. Now let\u2019s take a look at the properties of these polygons:<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-interior-and-exterior-angles\">Interior and Exterior Angles<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The sum of interior angles of a polygon can be calculated using the formula,&nbsp; $(n$$-$$2)360^\\circ$ where n is the number of sides. Since the number of sides, i.e., $n =12$, in a dodecagon.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, for dodecagon or for a 12 sided polygon, interior angles sum can be calculated using $n =12$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The sum of interior angles of a dodecagon$=(12$$-$$2)\\times360^\\circ=10\\times360^\\circ=1800^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the sum of all the interior angles of a <strong>dodecagon<\/strong> is 1800.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;In a regular 12-sided polygon, each angle is identical. So, each angle of a regular <strong>dodecagon<\/strong> is equal to $1800^\\circ \\div 12$ or $150^\\circ$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">From the figure below, we can see that the exterior angle and the interior angle make a straight line. Each exterior angle of a regular 12-sided polygon is equal to $180^\\circ$ $\u200b\u200b\u2013$ $150^\\circ$ or $30^\\circ$.&nbsp; The sum of all the exterior angles of a 12-sided polygon is 360.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"618\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon.png\" alt=\"Interior and exterior angle of dodecagon\" class=\"wp-image-40673\" title=\"Interior and exterior angle of dodecagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/Interior-and-exterior-angle-of-dodecagon-120x120.png 120w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"7-diagonals-of-a-dodecagon\">Diagonals of a Dodecagon<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">We can calculate the number of diagonals in any polygon using the formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{n (n-3)}{2}$, where n is the number of sides of the polygon. In this case, $\\text{n} = 12$. So, the number of diagonals in the polygon is $\\frac{12 (12 \u200b\u20133)}{2}$ or 54.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"8-triangles-in-a-dodecagon\">Triangles in a Dodecagon<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">We can calculate the triangles formed by diagonals from every vertex of a dodecagon. The formula for that is $(\\text{n}$ $\u2013$ $2)$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, \u201cn\u201d is the number of sides of the polygon.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-facts\">Facts<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can summarize the properties of dodecagon through a value table for better clarification.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"688\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/properties-of-dodecagon.png\" alt=\"Properties of Dodecagon\" class=\"wp-image-40674\" title=\"Properties of Dodecagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/properties-of-dodecagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/properties-of-dodecagon-270x300.png 270w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-area-of-a-dodecagon\">Area of a Dodecagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The area of a <strong>dodecagon<\/strong> means the total space covered by the boundary of the polygon. The mathematical formula to calculate area of a regular <strong>dodecagon<\/strong> is given as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Dodecagon area formula: Area $= 3 \\times ( 2 + \\sqrt{3}) \\times \\text{s}^2$ ,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">where<strong> s = <\/strong>length of its side<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-perimeter-of-a-dodecagon\">Perimeter of a Dodecagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter represents the polygon\u2019s boundary. It is the sum of all <strong>sides of the polygon.<\/strong> The perimeter of a regular <strong>dodecagon<\/strong> can be calculated by the formula&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\text{P} = \\text{s} \\times 12$, where \u201cs\u201d is the length of the side of a dodecagon.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A polygon is a two-dimensional closed geometric figure with a finite number of sides. A dodecagon is a 12-sided polygon. Knowledge of different types of polygons is essential for understanding various two-dimensional shapes in real life. SplashLearn is here to make this learning journey easier for you.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. What will be the area of a dodecagon with a side of 10 cm?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of a <strong>dodecagon<\/strong> $= 3 \\times (2 + \\sqrt{3}) \\times \\text{s}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given that s $= 10$ cm,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $= 3 \\times (2+ \\sqrt{3}) \\times 10^2 = 11.196 \\times 100 = 1119.6$ $\\text{cm}^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. What will be the perimeter of a dodecagon which has a side of 5 cm?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Formula for perimeter $= 12 \\times$ side length $= 12 \\times 5 = 60$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Out of the two images given below, identify which one is a dodecagon.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"431\" height=\"252\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-dodecagon-and-a-decagon.png\" alt=\"A dodecagon and a decagon\" class=\"wp-image-40675\" title=\"A dodecagon and a decagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-dodecagon-and-a-decagon.png 431w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/a-dodecagon-and-a-decagon-300x175.png 300w\" sizes=\"auto, (max-width: 431px) 100vw, 431px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A dodecagon is a polygon with 12 sides. Hence, image A is the right answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. What will be the length of wire needed to fence a park in the shape of a dodecagon if the length of each side of the park is 100 m?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that a $12 \\times$ side gives the perimeter of a <strong>dodecagon<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given that S $= 100$ m,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Perimeter $= 12 \\times 100$,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter so obtained represents the park boundary that needs to be fenced.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">5. What is the sum of all the exterior angles of a regular dodecagon?<strong>Solution: <\/strong>Each exterior angle of a regular 12-sided polygon is equal to $30^\\circ$.&nbsp; So, the sum of all the 12 exterior angles of a 12-sided polygon is $30^\\circ \\times 12 = 360^\\circ$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Dodecagon<\/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\">Each interior angle of a regular dodecagon is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">An acute angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">An obtuse angle<\/div><div class=\"spq_answer_block\" data-value=\"2\">A right angle<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: An obtuse angle<br\/>Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is a dodecagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">A<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-A.png\" alt=\"A\"><\/div><div class=\"spq_answer_block\" data-value=\"1\">B<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-B.png\" alt=\"B\"><\/div><div class=\"spq_answer_block\" data-value=\"2\">C<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-C.png\" alt=\"C\"><\/div><div class=\"spq_answer_block\" data-value=\"3\">D<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-D.png\" alt=\"D\"><\/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: A<br\/>The figure in option A is a 12-sided polygon.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-answer.png\"><\/div><\/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\">If one of the interior angles of a 12-sided polygon is 190o, then which of the following is true?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">It is a concave polygon<\/div><div class=\"spq_answer_block\" data-value=\"1\">It is a regular polygon<\/div><div class=\"spq_answer_block\" data-value=\"2\">It is a convex polygon<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: It is a concave polygon<br\/>When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">A community park needs the installation of lamps at every corner. If the park is in the shape of a dodecagon, how many lamps must be installed in the park?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">10<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">12<\/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: 12<br\/>We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What will be the perimeter of a dodecagon if it has a side of 10 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">120 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">100 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">80 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">500 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: 120 cm<br\/>We know that a $12 $\\times$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $\\text{S} = 10$ cm,<br>\r\nPerimeter $= 12 \\times 10 = 120$ cm<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Dodecagon\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Dodecagon\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each interior angle of a regular dodecagon is\",\n                    \"text\": \"Each interior angle of a regular dodecagon is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"An acute angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"A right angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"An obtuse angle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each interior angle of a regular dodecagon measures 150O, which is an obtuse angle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a dodecagon?\",\n                    \"text\": \"Which of the following is a dodecagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The figure in option A is a 12-sided polygon.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"B <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-B.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The figure in option A is a 12-sided polygon.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-C.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The figure in option A is a 12-sided polygon.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"D <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-option-D.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The figure in option A is a 12-sided polygon.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"A\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The figure in option A is a 12-sided polygon. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-answer.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The figure in option A is a 12-sided polygon. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-answer.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If one of the interior angles of a 12-sided polygon is 190o, then which of the following is true?\",\n                    \"text\": \"If one of the interior angles of a 12-sided polygon is 190o, then which of the following is true?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is a regular polygon\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is a convex polygon\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"It is a concave polygon\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When any one of the interior angles of the 12-sided polygon is greater than 180we get a concave dodecagon.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A community park needs the installation of lamps at every corner. If the park is in the shape of a dodecagon, how many lamps must be installed in the park?\",\n                    \"text\": \"A community park needs the installation of lamps at every corner. If the park is in the shape of a dodecagon, how many lamps must be installed in the park?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"12\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that a dodecagon has 12 angles along each vertex. If the park authority wants to place a lamp at each vertex, they must order at least 12 lamps.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the perimeter of a dodecagon if it has a side of 10 cm?\",\n                    \"text\": \"What will be the perimeter of a dodecagon if it has a side of 10 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"80 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"500 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"120 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that a $$12 $$\\\\times$$ side gives the perimeter of a dodecagon.<br>\r\nGiven that $$\\\\text{S} = 10$$ cm,<br>\r\nPerimeter $$= 12 \\\\times 10 = 120$$ cm\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d957c4c2-9685-4b8c-a470-9c74113277a1\" 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-d957c4c2-9685-4b8c-a470-9c74113277a1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d957c4c2-9685-4b8c-a470-9c74113277a1\"><strong>Do the exterior and interior angles of a dodecagon form a straight line?<\/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-d957c4c2-9685-4b8c-a470-9c74113277a1\">\n\n<p class=\"eplus-wrapper\">Yes, the two angles combined form a straight line, forming a linear pair of angles.<\/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-d957c4c2-9685-4b8c-a470-9c74113277a1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d957c4c2-9685-4b8c-a470-9c74113277a1\"><strong>Which conditions must a dodecagon satisfy to qualify as a regular polygon?<\/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-d957c4c2-9685-4b8c-a470-9c74113277a1\">\n\n<p class=\"eplus-wrapper\">A dodecagon must have 12 equal sides and 12 equal interior angles to qualify as a regular polygon.<\/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-d957c4c2-9685-4b8c-a470-9c74113277a1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d957c4c2-9685-4b8c-a470-9c74113277a1\"><strong>What is a skew dodecagon?<\/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-d957c4c2-9685-4b8c-a470-9c74113277a1\">\n\n<p class=\"eplus-wrapper\">A skew dodecagon has 12 vertices and edges that do not exist on the same plane. Such dodecagons generally do not have a defined interior space.<\/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-3-d957c4c2-9685-4b8c-a470-9c74113277a1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d957c4c2-9685-4b8c-a470-9c74113277a1\"><strong>How can we split a dodecagon into several triangles?<\/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-3-d957c4c2-9685-4b8c-a470-9c74113277a1\">\n\n<p class=\"eplus-wrapper\">We can do so by drawing diagonals from the vertices of a dodecagon. Usually, we can form up to 10 triangles within a dodecagon.<\/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-4-d957c4c2-9685-4b8c-a470-9c74113277a1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d957c4c2-9685-4b8c-a470-9c74113277a1\"><strong>Is there any difference between a dodecagon and a dodecahedron?<\/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-4-d957c4c2-9685-4b8c-a470-9c74113277a1\">\n\n<p class=\"eplus-wrapper\">A dodecagon is a 12-sided 2D polygon, but a dodecahedron is a three-dimensional polyhedron with 12 faces. Unlike a dodecagon, we can measure the volume of a dodecahedron.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What is a Dodecagon? A polygon is a two-dimensional closed geometric figure with a finite number of sides. The sides of a polygon are made of line segments. We need a minimum of three line segments to make a polygon. You may have come across polygons in your daily routine. Polygons like triangles, quadrilaterals, and &#8230; <a title=\"Dodecagon\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/dodecagon\" aria-label=\"More on Dodecagon\">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-25972","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\/25972","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=25972"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25972\/revisions"}],"predecessor-version":[{"id":40676,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25972\/revisions\/40676"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=25972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=25972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=25972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}