[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633428-105":3,"doc-detail-633428-en":80,"detail-sidebar-cat-0-en-105":96},{"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-3-mathematics-practice-worksheet","Area of a Sector - Sheet 3 - Mathematics Practice Worksheet","","This document provides a set of practice exercises focused on calculating the area of a circle sector using measurements in radians. It features two primary sections: a worksheet containing six problems where students must utilize the given radius and angle to find the sector area, and a corresponding answer key that demonstrates the step-by-step working out for each calculation. The material is designed to reinforce mathematical proficiency in geometry through practical, result-oriented application exercises.",{"@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-3-mathematics-practice-worksheet/633428/",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-3-mathematics-practice-worksheet/633428.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 is the formula for the area of a sector given a radius and an angle in radians?","Question",{"text":62,"@type":63},"The area of a sector is calculated using the formula Area = (θ/2) × r², where θ is the angle in radians and r is the radius.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the calculations presented in this document?",{"text":67,"@type":63},"The document provides a series of six problems followed by an answer key that includes the specific substitution of values into the formula and the final resulting area with appropriate units.",{"name":69,"@type":60,"acceptedAnswer":70},"What units are used for the measurements in the problems?",{"text":71,"@type":63},"The problems utilize a variety of units including centimeters (cm), inches (in), feet (ft), and meters (m) to measure the radius, while the sector angles are provided in radians.","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},633428,1792997737,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":95},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AREA OF A SECTOR SHEET 3 (RADIANS)  \nUse the radius and angle measurement in radians to find the area of these sectors.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | 7 cm\u003Cbr>|  |  |\n| 2) | \u003Cbr>8 ½ in\u003Cbr>\u003Cbr>2 rad |  |  |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>2.8 rads |  |  |\n| 4) |  2.6 m\u003Cbr>|  |  |\n| 5) | \u003Cbr>5 in\u003Cbr>1 ½ rads\u003Cbr>|  |  |\n| 6) | \u003Cbr>24 cm\u003Cbr>\u003Cbr>4.7 rads |  |  |\n\nAREA OF A SECTOR SHEET 3 (RADIANS) ANSWERS  \nUse the radius and angle measurement to find the area of these sectors.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | 7 cm\u003Cbr>| Area = (1.8/2) ∙ 72 = 0.9 ∙ 49\u003Cbr>= 44.1 cm2 | 44.1 cm2 |\n| 2) | \u003Cbr>8 ½ in\u003Cbr>\u003Cbr>2 rad | Area = (2/2) ∙ (8 ½)2 = 1 ∙ (289/4) = 289/4 = 72.25 in2 | 72.25 in2 |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>2.8 rads | Area = (2 .8/2) ∙ (2 ½)2 = 1.4 ∙ (25/4) = 35/4 = 8.75 ft2 | 8.75 ft2 |\n| 4) |  2.6 m\u003Cbr>| Area = (1/2) ∙ (2.6)2 = ½ ∙ 6.76\u003Cbr>= 3.38 m2 | 3.38 m2 |\n| 5) | \u003Cbr>5 in\u003Cbr>1 ½ rads\u003Cbr>| Area = (1 ½/2) ∙ 52 = ¾ ∙ 25 = 75/4\u003Cbr>= 18.75 in2 | 18.75 in2 |\n| 6) | \u003Cbr>24 cm\u003Cbr>\u003Cbr>4.7 rads | Area = (4.7/2) ∙ 242 = 2.35 ∙ 576\u003Cbr>= 1353.6 cm2 | 1353.6 cm2 |","cbCaioly9A9vyHsA","https://ap.wps.com/l/cbCaioly9A9vyHsA","pdf",185635,"English","# Area of a Sector Exercises\n## Answer Key","[{\"question\":\"What is the formula for the area of a sector given a radius and an angle in radians?\",\"answer\":\"The area of a sector is calculated using the formula Area = (θ/2) × r², where θ is the angle in radians and r is the radius.\"},{\"question\":\"How are the calculations presented in this document?\",\"answer\":\"The document provides a series of six problems followed by an answer key that includes the specific substitution of values into the formula and the final resulting area with appropriate units.\"},{\"question\":\"What units are used for the measurements in the problems?\",\"answer\":\"The problems utilize a variety of units including centimeters (cm), inches (in), feet (ft), and meters (m) to measure the radius, while the sector angles are provided in radians.\"}]","Area of a Sector - Sheet 3 - Mathematics Practice Worksheet | PDF",1792672131,5,{"code":4,"msg":81,"data":97},[98,102,106,109,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},"Story & 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