[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637499-105":59,"doc-detail-637499-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","perimeter-of-a-sector-sheet-3-mathematics-practice-worksheet","Perimeter of a Sector - Sheet 3 - Mathematics Practice Worksheet","","This educational document provides a structured mathematics practice worksheet focused on calculating the perimeter of a sector given its radius and angle measurement in radians. It includes a set of six geometry problems followed by a corresponding answer key with detailed, step-by-step working out. The resource is designed to help students master the formula P = 2r + L, where L represents the arc length derived from the product of the angle and radius, facilitating a clear understanding of geometric measurements in various units of length.",{"@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/perimeter-of-a-sector-sheet-3-mathematics-practice-worksheet/637499/",{"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/perimeter-of-a-sector-sheet-3-mathematics-practice-worksheet/637499.png","ImageObject",300,407,{"name":92,"@type":93},"awa","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 standard formula used for calculating the perimeter of a sector when the angle is in radians?","Question",{"text":112,"@type":113},"The perimeter P of a sector is calculated using the formula P = 2r + L, where r is the radius and L is the arc length determined by the product of the angle in radians and the radius (L = θ × r).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the arc length and perimeter determined in the provided examples?",{"text":117,"@type":113},"The arc length L is found by multiplying the given angle in radians by the radius. This value is then added to twice the radius to obtain the total perimeter of the sector.",{"name":119,"@type":110,"acceptedAnswer":120},"Does this worksheet include solutions to the problems presented?",{"text":121,"@type":113},"Yes, the document includes a comprehensive answer key that displays the working out and the final perimeter for all six exercise problems.","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},637499,1792997918,{"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},3985747858093,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","PERIMETER OF A SECTOR SHEET 3 (RADIANS)  \nUse the radius and angle measurement in radians to find the perimeter of these sectors.  \n\n|  |  | WORKING OUT | PERIMETER |\n| --- | --- | --- | --- |\n| 1) | 7 cm\u003Cbr>|  |  |\n| 2) | \u003Cbr>8 ½ in\u003Cbr>\u003Cbr>2 ¼ 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\nPERIMETER OF A SECTOR SHEET 3 (RADIANS) ANSWERS  \nUse the radius and angle measurement to find the perimeter of these sectors.  \n\n|  |  | WORKING OUT | PERIMETER |\n| --- | --- | --- | --- |\n| 1) | 7 cm\u003Cbr>| P = 2r + L\u003Cbr>L = ϴ ∙ r = 1.8 x 7 = 12.6\u003Cbr>P = 2 x 7 + 12.6 = 14 + 12.6 = 26.6 cm | 26.6 cm |\n| 2) | \u003Cbr>8 ½ in\u003Cbr>2.1 rad\u003Cbr>| P = 2r + L\u003Cbr>L = ϴ ∙ r = 2.1 x 8 ½ = (357/20) = 17.85 P = 2 x 8 ½ + 17.85 = 17 + 17.85 = 34.85 in | 34.85 in |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>2.8 rads | P = 2r + L\u003Cbr>L = ϴ ∙ r = 2.8 x 2 ½ = 7\u003Cbr>P = 2 x 2 ½ + 7 = 5 + 7 = 12 ft | 12 ft |\n| 4) |  2.6 m\u003Cbr>| P = 2r + L\u003Cbr>L = ϴ ∙ r = 1 x 2.6 = 2.6\u003Cbr>P = 2 x 2.6 + 2.6 = 7.8 m | 7.8 m |\n| 5) | \u003Cbr>5 in\u003Cbr>1 ½ rads\u003Cbr>| P = 2r + L\u003Cbr>L = ϴ ∙ r = 1 ½ x 5 = 7.5\u003Cbr>P = 2 x 5 + 7.5 = 10 + 7.5 = 17.5 in | 17.5 in |\n| 6) | \u003Cbr>24 cm\u003Cbr>\u003Cbr>4.7 rads | P = 2r + L\u003Cbr>L = ϴ ∙ r = 4.7 x 24 = 112.8\u003Cbr>P = 2 x 24 + 112.8 = 48 + 112.8 = 160.8 cm | 160.8 cm |","cbCaikVKj8x30WyZ","https://ap.wps.com/l/cbCaikVKj8x30WyZ","pdf",186032,"English","# Perimeter of a Sector Exercises\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the standard formula used for calculating the perimeter of a sector when the angle is in radians?\",\"answer\":\"The perimeter P of a sector is calculated using the formula P = 2r + L, where r is the radius and L is the arc length determined by the product of the angle in radians and the radius (L = θ × r).\"},{\"question\":\"How are the arc length and perimeter determined in the provided examples?\",\"answer\":\"The arc length L is found by multiplying the given angle in radians by the radius. This value is then added to twice the radius to obtain the total perimeter of the sector.\"},{\"question\":\"Does this worksheet include solutions to the problems presented?\",\"answer\":\"Yes, the document includes a comprehensive answer key that displays the working out and the final perimeter for all six exercise problems.\"}]","Perimeter of a Sector - Sheet 3 - Mathematics Practice Worksheet | PDF",1792680679]