[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637496-105":59,"doc-detail-637496-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-practice-worksheet","Perimeter of a Sector - Practice Worksheet","","This document provides a comprehensive practice worksheet for calculating the perimeter of a circular sector. It includes six specific problems that require students to use radius and angle measurements to determine the total length of the sector boundary. The resource explicitly details the mathematical formula used for these calculations: the perimeter is derived by adding twice the radius to the arc length. To assist with learning, the document features a complete set of step-by-step solutions, which demonstrate the derivation of arc lengths and final perimeter values rounded to one decimal place. Designed as an educational aid, this sheet supports students in mastering geometric principles and reinforcing their ability to apply trigonometry and circle properties in practical math scenarios. The provided examples cover a variety of dimensions and angles, offering a structured approach to solving complex geometry problems, making it an excellent resource for classroom instruction, homework assignments, or independent student study and exam preparation.",{"@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-practice-worksheet/637496/",{"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-practice-worksheet/637496.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 general formula for finding the perimeter of a sector?","Question",{"text":112,"@type":113},"The perimeter (P) of a sector is calculated using the formula P = 2r + L, where 'r' is the radius of the circle and 'L' is the arc length of the sector.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the arc length (L) of a sector calculated?",{"text":117,"@type":113},"The arc length is calculated using the formula L = (θ/180) * π * r, where θ represents the angle of the sector in degrees and r is the radius.",{"name":119,"@type":110,"acceptedAnswer":120},"To what degree of precision should the answers be rounded?",{"text":121,"@type":113},"The instructions specify that all final answers for the perimeter should be rounded to 1 decimal place.","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},637496,1792876479,{"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 1  \nUse the radius and angle measurement to find the perimeter of these sectors. Give your answers to 1 decimal place.  \n\n|  |  | WORKING OUT | PERIMETER |\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\nPERIMETER OF A SECTOR SHEET 1 ANSWERS  \nUse the radius and angle measurement to find the perimeter of these sectors. Give your answers to 1 decimal place.  \n\n|  |  | WORKING OUT | PERIMETER |\n| --- | --- | --- | --- |\n| 1) | \u003Cbr>10 cm\u003Cbr>\u003Cbr>65ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (65/180) ∙ π ∙ 10 = (650/180) ∙ π L = (65/18) ∙ π = 11.345 (to 3dp)\u003Cbr>P = 2 x 10 + 11.345 = 20 + 11.345 = 31.345 | 31.3 cm to 1 decimal place |\n| 2) | 7 in\u003Cbr>| P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (124/180) ∙ π ∙ 7 = (868/180) ∙ π L = (217/45) ∙ π = 15.149 (to 3dp)\u003Cbr>P = 2 x 7 + 15.149 = 14 + 15.149 = 29.149 | 29.1 into 1 decimal place |\n| 3) | \u003Cbr>\u003Cbr>162ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (162/180) ∙ π ∙ 3 ½= (567/180) ∙ π = (63/20) ∙ π = 9.896 (to 3dp) P = 2 x 3 ½ + 9.896 = 7 + 9.896 = 16.896 | 16.9 ft to 1 decimal place |\n| 4) |  1.8 m\u003Cbr>| P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (52/180) ∙ π ∙ 1.8\u003Cbr>= (13/25) ∙ π = 1.634 (to 3dp)\u003Cbr>P = 2 x 1.8 + 1.634 = 3.6 + 1.634 = 5.234 | 5.2 m to 1 decimal\u003Cbr>place |\n| 5) |  5 ¼ in\u003Cbr>\u003Cbr>\u003Cbr>104ᵒ | P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (104/180) ∙ π ∙ 5 ¼= (546/180) ∙ π = (91/30) ∙ π = 9.529 (to 3dp) P = 2 x 5 ¼ + 9.529 = 10.5 + 9.529 = 20.029 | 20.0 into 1 decimal place |\n| 6) | 72 cm \u003Cbr>| P = 2r + L\u003Cbr>L = (ϴ/180) ∙ π ∙ r = (34/180) ∙ π ∙ 72\u003Cbr>= (2448/180) ∙ π = (68/5) ∙ π = 42.726 (to 3dp) P = 2 x 72 + 42.726 = 144 + 42.726 = 186.726 | 186.7 cm to 1 decimal place |","cbCaid6CazibaU9q","https://ap.wps.com/l/cbCaid6CazibaU9q","pdf",193176,"English","# Calculation Problems\n## Solutions and Working Out","[{\"question\":\"What is the general formula for finding the perimeter of a sector?\",\"answer\":\"The perimeter (P) of a sector is calculated using the formula P = 2r + L, where 'r' is the radius of the circle and 'L' is the arc length of the sector.\"},{\"question\":\"How is the arc length (L) of a sector calculated?\",\"answer\":\"The arc length is calculated using the formula L = (θ/180) * π * r, where θ represents the angle of the sector in degrees and r is the radius.\"},{\"question\":\"To what degree of precision should the answers be rounded?\",\"answer\":\"The instructions specify that all final answers for the perimeter should be rounded to 1 decimal place.\"}]","Perimeter of a Sector - Practice Worksheet | PDF",1792680672]