[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633418-105":59,"doc-detail-633418-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-a-regular-polygon-sheet-2","Area of a Regular Polygon - Sheet 2","","This document serves as an educational exercise focused on calculating the surface area of various regular polygons. It provides a series of math problems where learners must apply specific geometric formulas to find the area for polygons of differing side lengths and units, including inches, centimeters, and feet. Each problem includes detailed step-by-step working out and the final area result rounded to two decimal places. The content is designed for students practicing geometry, emphasizing the correct usage of mathematical constants and algebraic expressions to solve for planar area. By working through these examples, students can reinforce their understanding of polygon properties and improve their computational accuracy in geometric measurement tasks. The clear formatting and provided solutions make this an effective tool for self-assessment and mastery of polygon area calculations in an academic setting.",{"@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-a-regular-polygon-sheet-2/633418/",{"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-a-regular-polygon-sheet-2/633418.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":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How should the answers be formatted in these exercises?","Question",{"text":112,"@type":113},"All area calculations must be rounded to two decimal places, as specified in the instructions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What units are used for the measurements in these problems?",{"text":117,"@type":113},"The problems utilize various units of length and area, specifically inches (in), centimeters (cm), and feet (ft).",{"name":119,"@type":110,"acceptedAnswer":120},"What information is provided for each polygon problem?",{"text":121,"@type":113},"Each entry provides the polygon's characteristic dimension, the specific mathematical working out used for the calculation, and the final area result.","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},633418,1792900697,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AREA OF A REGULAR POLYGON SHEET 2  \nFind the area of these regular polygons. Give your answers to 2 decimal places.  \n\n| POLYGON |  |  |  | WORKING OUT | ANSWER |\n| --- | --- | --- | --- | --- | --- |\n| 1) | |  | 5 ½ in |  |  |\n| 2) 12 cm\u003Cbr>\u003Cbr>|  |  |  |  |  |\n| 3) | | 4 ft |  |  |  |\n| 4) | |  |  |  |  |\n| 5) 6 cm\u003Cbr>\u003Cbr>|  |  |  |  |  |\n| 6)\u003Cbr>15 in\u003Cbr>\u003Cbr>|  |  |  |  |  |\n\nAREA OF A REGULAR POLYGON SHEET 2  \nFind the area of these regular polygons. Give your answers to 2 decimal places.  \n\n| POLYGON |  |  |  | WORKING OUT | ANSWER |\n| --- | --- | --- | --- | --- | --- |\n| 1) | |  | 5 ½ in | 􀜣 = 3√23 􀝏 2 = 33 ∙ ( 5 12)2 = 3√23 ∙ 1241 =  8 √3 | 78.59 in2\u003Cbr>to 2 decimal places |\n| 2) 12 cm\u003Cbr>\u003Cbr>|  |  |  | 􀜣 = 2􀝏2 (1 + √2) = 2 ∙ 122 ∙ (1 + √2)= 288 (1 + √2) | 695.29 cm2\u003Cbr>to 2 decimal places |\n| 3) | | 4 ft |  | 􀜣 = 52 􀝏 2 √5 + 2√5 = 52 ∙ 42 ∙ √5 + 2√5 = 40 ∙ √ 5 + 2√5 = 40 ∙ 3.07768 | 123.11 ft2\u003Cbr>to 2 decimal places |\n| 4) | |  |  | 􀜣 = √34 􀝏 2 = √34 ∙ (3 . 2)2 = √34 ∙ 10.24 | 4.43 m2\u003Cbr>to 2 decimal places |\n| 5) 6 cm\u003Cbr>\u003Cbr>|  |  |  | 􀜣 = 3􀝏2 (2 + √3) = 3 ∙ 62 ∙ (2 + √3)= 108 (2 + √3) | 403.06 cm2 to\u003Cbr>2 decimal places |\n| 6)\u003Cbr>15 in\u003Cbr>\u003Cbr>|  |  |  | 􀜣 = 14 􀝏 2√5 (5 + 2√5)  \u003Cbr>= 14 ∙ (15)2 ∙ √5 (5 + 2√5)= 2245 ∙ 6.8819 | 387.11 in2 to 2 decimal places |","cbCaimQi7NjB7g7E","https://ap.wps.com/l/cbCaimQi7NjB7g7E","pdf",233560,"English","# Area of a Regular Polygon Calculations\n## Exercise Problems and Solutions","[{\"question\":\"How should the answers be formatted in these exercises?\",\"answer\":\"All area calculations must be rounded to two decimal places, as specified in the instructions.\"},{\"question\":\"What units are used for the measurements in these problems?\",\"answer\":\"The problems utilize various units of length and area, specifically inches (in), centimeters (cm), and feet (ft).\"},{\"question\":\"What information is provided for each polygon problem?\",\"answer\":\"Each entry provides the polygon's characteristic dimension, the specific mathematical working out used for the calculation, and the final area result.\"}]","Area of a Regular Polygon - Sheet 2 | PDF",1792672117]