[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633416-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-633416-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","area-of-a-regular-polygon-sheet-1","Area of a Regular Polygon - Sheet 1","","This document provides a structured set of practice problems for calculating the area of regular polygons, accompanied by a comprehensive answer key with step-by-step working out. It features six distinct exercises that require the application of geometric formulas to determine the area of various regular shapes given specific side lengths. The answer sheet ensures precision by requesting results rounded to two decimal places, making it an excellent resource for students seeking to reinforce their understanding of geometry and mathematical formula application in a classroom or self-study environment.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/area-of-a-regular-polygon-sheet-1/633416/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/area-of-a-regular-polygon-sheet-1/633416.png","ImageObject",300,407,{"name":42,"@type":43},"Margaret","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the goal of the exercises in this document?","Question",{"text":62,"@type":63},"The goal is to calculate the area of various regular polygons with given side lengths, providing the final answers rounded to two decimal places.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Are the solutions provided for the problems?",{"text":67,"@type":63},"Yes, the document includes an 'Answers' section that contains the mathematical working out and the final area for each of the six problems.",{"name":69,"@type":60,"acceptedAnswer":70},"What units of measurement are used in these exercises?",{"text":71,"@type":63},"The exercises use various units including inches (in), feet (ft), and centimeters (cm) to define the side lengths of the polygons.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},633416,1792920654,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":95},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AREA OF A REGULAR POLYGON SHEET 1  \nFind the area of these regular polygons. Give your answers to 2 decimal places.  \n\n| POLYGON |  |  |  | WORKING OUT | ANSWER |\n| --- | --- | --- | --- | --- | --- |\n| 1) | | \u003Cbr>4 ½ in |  |  |  |\n| 2) | |  |  |  |  |\n| 3)\u003Cbr>3 ft\u003Cbr>\u003Cbr>|  |  |  |  |  |\n| 4) | |  | 7 in |  |  |\n| 5) 6 cm\u003Cbr>\u003Cbr>|  |  |  |  |  |\n| 6) | |  | 11 cm |  |  |\n\nAREA OF A REGULAR POLYGON SHEET 1 ANSWERS  \nFind the area of these regular polygons. Give your answers to 2 decimal places.  \n\n| POLYGON |  |  |  | WORKING OUT | ANSWER |\n| --- | --- | --- | --- | --- | --- |\n| 1) | | \u003Cbr>4 ½ in |  | A = (4 ½)2 = 20.25 cm2 | 20.25 cm2 |\n| 2) | |  |  | \u003Cbr>􀜣 = 3 􀝏 2 = 3 122 = 3 ∙ (144) = 36√3 | 62.35 cm2\u003Cbr>to 2 decimal places |\n| 3)\u003Cbr>3 ft\u003Cbr>\u003Cbr>|  |  |  | 􀜣 = 3√23 􀝏 2 = 3√23 ∙ 32 = 3√23 ∙ 9 = 27√23 | 23.38 ft2\u003Cbr>to 2 decimal places |\n| 4) | |  | 7 in | 􀜣 = 14 􀝏 2√5 (5 + 2√5) = 14 ∙ 72 ∙ 6.8819 = 14 ∙ 49 ∙ 6.8819 | 84.30 in2\u003Cbr>to 2 decimal places |\n| 5) 6 cm\u003Cbr>\u003Cbr>|  |  |  | 􀜣 = 2􀝏2 (1 + √2) = 2 ∙ 62  ∙  (1 + √2)= 72 ∙ (1 + √2) | 173.82 cm2\u003Cbr>to 2 decimal places |\n| 6) | |  | 11 cm | 􀜣 = 52 􀝏 2√5 + 2√5 = 52 ∙ 112 ∙ 3.07768 = 52 ∙ 121 ∙ 3.07768 | 931.00 cm2\u003Cbr>to 2 decimal places |","cbCaiefAwur77N28","https://ap.wps.com/l/cbCaiefAwur77N28","pdf",233411,"English","# Practice Problems\n## Answer Key","[{\"question\":\"What is the goal of the exercises in this document?\",\"answer\":\"The goal is to calculate the area of various regular polygons with given side lengths, providing the final answers rounded to two decimal places.\"},{\"question\":\"Are the solutions provided for the problems?\",\"answer\":\"Yes, the document includes an 'Answers' section that contains the mathematical working out and the final area for each of the six problems.\"},{\"question\":\"What units of measurement are used in these exercises?\",\"answer\":\"The exercises use various units including inches (in), feet (ft), and centimeters (cm) to define the side lengths of the polygons.\"}]","Area of a Regular Polygon - Sheet 1 | PDF",1792672113]