[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633424-105":59,"doc-detail-633424-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-sector-sheet-1","Area of a Sector - Sheet 1","","This educational resource provides a comprehensive practice sheet for calculating the area of a circle's sector. It presents six distinct problems that require students to apply the sector area formula, which integrates the radius and the central angle in degrees. The document is structured as both a student activity worksheet and a fully detailed answer key, showing step-by-step calculations and rounding results to one decimal place. It is an ideal tool for geometry students reinforcing their understanding of circular dimensions, area measurement, and unit conversion within mathematical applications. The clear layout and logical progression make it suitable for independent study, classroom practice, or homeschooling mathematics curricula focused on circle properties.",{"@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-sector-sheet-1/633424/",{"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-sector-sheet-1/633424.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":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the formula for the area of a sector?","Question",{"text":112,"@type":113},"The area of a sector is calculated using the formula: (angle/360) * π * radius^2.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"To how many decimal places should the final answers be rounded?",{"text":117,"@type":113},"The document specifies that all answers should be rounded to 1 decimal place.",{"name":119,"@type":110,"acceptedAnswer":120},"Does this document include solutions?",{"text":121,"@type":113},"Yes, the document includes a comprehensive 'Answers' section that provides the working out and final area calculations for all six problems presented.","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},633424,1792997917,{"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":19,"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 SECTOR SHEET 1  \nUse the radius and angle measurement to find the area of these sectors. Give your answers to 1 decimal place.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | \u003Cbr>10 cm\u003Cbr>\u003Cbr>65ᵒ |  |  |\n| 2) | \u003Cbr>7 in\u003Cbr>\u003Cbr>124ᵒ |  |  |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>162ᵒ |  |  |\n| 4) |  1.8 m\u003Cbr>|  |  |\n| 5) |  5 ¼ in\u003Cbr>\u003Cbr>\u003Cbr>104ᵒ |  |  |\n| 6) | 72 cm \u003Cbr>|  |  |\n\nAREA OF A SECTOR SHEET 1 ANSWERS  \nUse the radius and angle measurement to find the area of these sectors. Give your answers to 1 decimal place.  \n\n|  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | \u003Cbr>10 cm 65ᵒ | Area = (65/360) ∙ π ∙ 102 = 65/360 ∙ π ∙ 100 = (325/18) π\u003Cbr>= 56.7 to 1 decimal place | 56.7 cm2\u003Cbr>to 1 decimal place |\n| 2) | 7 in\u003Cbr>\u003Cbr>124ᵒ | Area = (124/360) ∙ π ∙ 72 = 124/360 ∙ π ∙ 49 = (1519/90) π\u003Cbr>= 53.0 to 1 decimal place | 53.0 in2\u003Cbr>to 1 decimal place |\n| 3) | \u003Cbr>162ᵒ | Area = (162/360) ∙ π ∙ (3 ½)2 = 162/360 ∙ π ∙ (49/4)= (441/80) π\u003Cbr>= 17.3 to 1 decimal place | 17.3 ft2\u003Cbr>to 1 decimal place |\n| 4) |  1.8 m\u003Cbr>| Area = (52/360) ∙ π ∙ (1 .8)2 = (52/360) ∙ π ∙ (3 . 24)= 0.468 π\u003Cbr>= 1.5 to 2dp | 1.5 m2\u003Cbr>to 1 decimal place |\n| 5) | \u003Cbr>104ᵒ\u003Cbr> 5 ¼ in | Area = (104/360) ∙ π ∙ (5 ¼)2\u003Cbr>= (104/360) ∙ π ∙ (441/16) = (637/80) π= 25.0 to 2dp | 25.0 in2\u003Cbr>to 1 decimal place |\n| 6) | 72 cm \u003Cbr>| Area = (34/360) x π x (72)2 = (34/360) x π x (5184)= (2448/5) π\u003Cbr>= 1538.1 to 2dp | 1538.1 cm2\u003Cbr>to 1 decimal place |","cbCain6GL9aK3afr","https://ap.wps.com/l/cbCain6GL9aK3afr","pdf",191090,"English","# Area of a Sector Exercises\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the formula for the area of a sector?\",\"answer\":\"The area of a sector is calculated using the formula: (angle/360) * π * radius^2.\"},{\"question\":\"To how many decimal places should the final answers be rounded?\",\"answer\":\"The document specifies that all answers should be rounded to 1 decimal place.\"},{\"question\":\"Does this document include solutions?\",\"answer\":\"Yes, the document includes a comprehensive 'Answers' section that provides the working out and final area calculations for all six problems presented.\"}]","Area of a Sector - Sheet 1 | PDF",1792672122]