[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637498-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-637498-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","perimeter-of-a-sector-sheet-2","Perimeter of a Sector - Sheet 2","","This educational worksheet provides a series of geometric exercises focused on calculating the perimeter of sectors. Each problem presents a sector with a defined radius and central angle, requiring students to apply the formula for arc length and perimeter. The document includes a practice section followed by a detailed answer key that shows step-by-step mathematical working, including the application of pi and rounding to two decimal places. It is designed for students learning intermediate geometry and circle properties.",{"@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/perimeter-of-a-sector-sheet-2/637498/",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/perimeter-of-a-sector-sheet-2/637498.png","ImageObject",300,407,{"name":42,"@type":43},"awa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How is the perimeter of a sector calculated?","Question",{"text":62,"@type":63},"The perimeter is calculated by adding twice the radius (2r) to the arc length (L) of the sector, using the formula P = 2r + (θ/180) * π * r.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What units of measurement are used in these exercises?",{"text":67,"@type":63},"The worksheet uses a variety of units including centimeters (cm), inches (in), meters (m), and millimeters (mm) depending on the specific problem.",{"name":69,"@type":60,"acceptedAnswer":70},"To what precision should the final answers be rounded?",{"text":71,"@type":63},"All perimeter calculations provided in the answer key are rounded to 2 decimal places as specified in the instructions.","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},637498,1792876478,{"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":30,"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},3985747858093,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","PERIMETER OF A SECTOR SHEET 2  \nUse the radius and angle measurement to find the perimeter 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\nPERIMETER OF A SECTOR SHEET 2 ANSWERS  \nUse the radius and angle measurement to find the perimeter of these sectors. Give your answers to 2 decimal places.  \n\n|  |  | WORKING OUT | PERIMETER |\n| --- | --- | --- | --- |\n| 1) | 12 cm\u003Cbr>| P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (120/180) ∙ π ∙ 12\u003Cbr>= (1440/180) ∙ π = 8π = 25.133 (to 3dp)\u003Cbr>P = 2 x 12 + 25.133 = 24 + 25.133 = 49.133 (to 3dp) | 49.13 cm to 2 decimal places |\n| 2) | \u003Cbr>\u003Cbr>6 ½ in 64ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (64/180) ∙ π ∙ 6 ½= (416/180) ∙ π = (104/45) ∙ π = 7.261 (to 3dp)\u003Cbr>P = 2 x 6 ½ + 7.261 = 13 + 7.261 = 20.261 (to 3dp) | 20.26 in. to 2 decimal places |\n| 3) | \u003Cbr>\u003Cbr>135ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (135/180) ∙ π ∙ 38\u003Cbr>= (5130/180) ∙ π = (57/2) ∙ π = 89.535 (to 3dp) P = 2 x 38 + 89.535 = 76 + 89.535\u003Cbr>= 165.535 (to 3dp) | 165.54 mm to 2 decimal places |\n| 4) |  3.2 m\u003Cbr>| P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (112/180) ∙ π ∙ 3.2 = (448/225) ∙ π = 6.255 (to 3dp)\u003Cbr>P = 2 x 3.2 + 6.255 = 6.4 + 6.255 = 12.655 (to 3dp) | 12.66 m to 2 decimal places |\n| 5) | \u003Cbr>5 ¾ in 234ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (234/180) ∙ π ∙ 5 ¾= (234/180) ∙ (23/4) ∙ π = (299/40) ∙ π= 23.483 (to 3dp)\u003Cbr>P = 2 x 5 ¾ + 23.483 = 34.983 (to 3dp) | 34.98 in. to 2 decimal places |\n| 6) | \u003Cbr>325ᵒ 18\u003Cbr>\u003Cbr>cm | P = 2r + L\u003Cbr>r = 18 ÷ 2 = 9 cm\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (325/180) ∙ π ∙ 9\u003Cbr>= (65/4) ∙ π = 51.051 (to 3dp)\u003Cbr>P = 2 x 9 + 51.051 = 18 + 51.051 = 69.051 (to 3dp) | 69.05 cm to 2 decimal places |","cbCaitbx7nhOoTn6","https://ap.wps.com/l/cbCaitbx7nhOoTn6","pdf",193053,"English","# Practice Exercises\n## Answer Key","[{\"question\":\"How is the perimeter of a sector calculated?\",\"answer\":\"The perimeter is calculated by adding twice the radius (2r) to the arc length (L) of the sector, using the formula P = 2r + (θ/180) * π * r.\"},{\"question\":\"What units of measurement are used in these exercises?\",\"answer\":\"The worksheet uses a variety of units including centimeters (cm), inches (in), meters (m), and millimeters (mm) depending on the specific problem.\"},{\"question\":\"To what precision should the final answers be rounded?\",\"answer\":\"All perimeter calculations provided in the answer key are rounded to 2 decimal places as specified in the instructions.\"}]","Perimeter of a Sector - Sheet 2 | PDF",1792680678]