[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633426-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-633426-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-sector-sheet-2-practice-exercises-and-answer-key","Area of a Sector - Sheet 2 - Practice Exercises and Answer Key","","This educational resource provides a structured set of practice exercises focused on calculating the area of a circle's sector using given radius and angle measurements. Designed for mathematics students, the document includes both a problem worksheet and a corresponding answer key with detailed step-by-step working out. The problems cover various units of measurement and require rounding results to two decimal places, making it an excellent tool for reinforcing geometry skills and formula application.",{"@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-sector-sheet-2-practice-exercises-and-answer-key/633426/",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-sector-sheet-2-practice-exercises-and-answer-key/633426.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":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What formula is used to find the area of a sector?","Question",{"text":62,"@type":63},"The area is calculated using the formula (angle/360) * π * radius squared.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How should the final answers be presented in these exercises?",{"text":67,"@type":63},"All answers should be rounded to two decimal places as specified in the instructions.",{"name":69,"@type":60,"acceptedAnswer":70},"What is the relationship between diameter and radius when calculating sector area?",{"text":71,"@type":63},"If the diameter is provided, the radius must be calculated first by dividing the diameter by two.","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},633426,1793068863,{"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":33,"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 SECTOR SHEET 2  \nUse the radius and angle measurement to find the area of these sectors. Give your answers to 2 decimal places.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | 12 cm\u003Cbr>|  |  |\n| 2) | 6 ½ in\u003Cbr>|  |  |\n| 3) | \u003Cbr>\u003Cbr> 135ᵒ |  |  |\n| 4) |  3.2 m\u003Cbr>|  |  |\n| 5) | \u003Cbr>5 ¾ in 234ᵒ |  |  |\n| 6) | \u003Cbr>325ᵒ 18\u003Cbr>\u003Cbr>cm |  |  |\n\nAREA OF A SECTOR SHEET 2 ANSWERS  \nUse the radius and angle measurement to find the area of these sectors. Give your answers to 2 decimal places.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | \u003Cbr>12 cm\u003Cbr>\u003Cbr>120ᵒ | Area = (120/360) ∙ π ∙ 122 = 120/360 ∙ π ∙ 144 = 48 π\u003Cbr>= 150.80 to 2 decimal places | 56.7 cm2\u003Cbr>to 2 decimal places |\n| 2) | \u003Cbr>6 ½ in 64ᵒ | Area = (64/360) ∙ π ∙ (6 ½)2 = 124/360 ∙ π ∙ (169/4)= (338/45) π\u003Cbr>= 23.60 to 2 decimal places | 53.0 in2\u003Cbr>to 2 decimal places |\n| 3) | \u003Cbr>135ᵒ | Area = (135/360) ∙ π ∙ (38)2 = 162/360 ∙ π ∙ 1444 = (1083/2) π\u003Cbr>= 1701.17 to 2 decimal places | 1701.17\u003Cbr>mm2\u003Cbr>to 2 decimal places |\n| 4) |  3.2 m\u003Cbr>| Area = (112/360) ∙ π ∙ (3 . 2)2\u003Cbr>= (112/360) ∙ π ∙ (10 . 24)\u003Cbr>= 3.1858 π\u003Cbr>= 10.01 to 2dp | 10.01 m2\u003Cbr>to 2 decimal places |\n| 5) | \u003Cbr>5 ¾ in 234ᵒ | Area = (234/360) ∙ π ∙ (5 ¾)2\u003Cbr>= (234/360) ∙ π ∙ (529/16) = (6877/320) π= 67.51 to 2dp | 67.51 in2\u003Cbr>to 2 decimal places |\n| 6) | \u003Cbr>325ᵒ 18\u003Cbr>\u003Cbr>cm | The diameter of the circle is 18 cm so the radius is 18 ÷ 2 = 9 cm.\u003Cbr>Area = (325/360) ∙ π ∙ (9)2\u003Cbr>= (325/360) ∙ π ∙ 81\u003Cbr>= (585/8) π\u003Cbr>= 229.73 to 2dp | 229.73 cm2\u003Cbr>to 2 decimal places |","cbCaii9gvX09y98l","https://ap.wps.com/l/cbCaii9gvX09y98l","pdf",193888,"English","# Area of a Sector Worksheet\n## Answer Key","[{\"question\":\"What formula is used to find the area of a sector?\",\"answer\":\"The area is calculated using the formula (angle/360) * π * radius squared.\"},{\"question\":\"How should the final answers be presented in these exercises?\",\"answer\":\"All answers should be rounded to two decimal places as specified in the instructions.\"},{\"question\":\"What is the relationship between diameter and radius when calculating sector area?\",\"answer\":\"If the diameter is provided, the radius must be calculated first by dividing the diameter by two.\"}]","Area of a Sector - Sheet 2 - Practice Exercises and Answer Key | PDF",1792672129]