[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633419-105":59,"doc-detail-633419-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","area-of-regular-polygons-formula-sheet","Area of Regular Polygons - Formula Sheet","","This document provides a comprehensive reference guide for calculating the area of various regular polygons, ranging from equilateral triangles to regular dodecagons. Each entry includes the name of the polygon, the number of sides, and the specific mathematical formula required to determine its area based on the side length 's'. It serves as a practical resource for students and educators in geometry, offering a clear and concise overview of area formulas, including both general trigonometric expressions and simplified algebraic forms for common polygons.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/area-of-regular-polygons-formula-sheet/633419/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/area-of-regular-polygons-formula-sheet/633419.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the general formula for the area of a regular polygon?","Question",{"text":112,"@type":113},"The general formula is A = (n/4) * s^2 * cot(180/n) degrees, where 'n' is the number of sides and 's' is the length of each side.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the formula to calculate the area of a regular square?",{"text":117,"@type":113},"The area of a square with side length 's' is simply s^2.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you calculate the area of a regular octagon?",{"text":121,"@type":113},"The area of a regular octagon can be calculated using the formula A = 2s^2 * (1 + √2), where 's' represents the side length.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},633419,1792920652,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":81},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AREA OF REGULAR POLYGONS FORMULA SHEET   \n\n| REGULAR POLYGON | IMAGE | AREA OF SHAPE |\n| --- | --- | --- |\n| General Formula | | 􀜣 = 􀝊4 􀝏 2 cot (180􀝊∘ ) |\n| Equilateral Triangle\u003Cbr>3 sides | | \u003Cbr>􀜣 = √34 􀝏 2 |\n| Square\u003Cbr>4 sides | | 􀜣 = 􀝏 2 |\n| Regular Pentagon\u003Cbr>5 sides | | 􀜣 = 14 􀝏 2√5 (5 + 2√5) |\n| Regular Hexagon\u003Cbr>6 sides | | \u003Cbr>􀜣 = 3√23 􀝏 2 |\n| Regular Heptagon\u003Cbr>7 sides | | 􀜣 = 74 􀝏 2 cot (~~ ~~1870~~ ~~∘~~ ~~ ) |\n| Regular Octagon\u003Cbr>8 sides | | 􀜣 = 2􀝏2 (1 + √2) |\n| Regular Nonagon\u003Cbr>9 sides | | 􀜣 = 94 􀝏 2 cot 20 ∘ |\n| Regular Decagon\u003Cbr>10 sides | | 􀜣 = 52 􀝏 2√5 + 2√5 |\n| Regular Hendecagon\u003Cbr>11 sides | | 􀜣 = 114 􀝏 2 cot (~~ ~~18011∘~~ ~~ ) |\n| Regular Dodecagon\u003Cbr>12 sides | | 􀜣 = 3􀝏2 (2 + √3) |","cbCaiqfVoJC2nUEb","https://ap.wps.com/l/cbCaiqfVoJC2nUEb","pdf",252393,"English","# General Area Formula\n## Specific Polygon Formulas\n### Triangle to Hexagon\n### Heptagon to Dodecagon","[{\"question\":\"What is the general formula for the area of a regular polygon?\",\"answer\":\"The general formula is A = (n/4) * s^2 * cot(180/n) degrees, where 'n' is the number of sides and 's' is the length of each side.\"},{\"question\":\"What is the formula to calculate the area of a regular square?\",\"answer\":\"The area of a square with side length 's' is simply s^2.\"},{\"question\":\"How do you calculate the area of a regular octagon?\",\"answer\":\"The area of a regular octagon can be calculated using the formula A = 2s^2 * (1 + √2), where 's' represents the side length.\"}]","Area of Regular Polygons - Formula Sheet | PDF",1792672119]