[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-637506-en":59,"doc-seo-637506-105":80},{"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":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":72,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":73,"language_code":74,"site_id":75,"html_lang":74,"table_of_contents":76,"faqs":77,"seo_title":78,"seo_description":66,"update_tm":79,"read_time":24},637506,3985747858093,"awa","https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Perimeter of a Semi-Circle Problems - 2B","This educational document provides a comprehensive set of practice problems focused on calculating the perimeter of semi-circular shapes and complex figures incorporating semi-circles. It includes three distinct geometry problems involving a semicircular window, an arch composed of straight and curved sections, and a running track layout. The material is designed for students to practice applying geometric formulas, specifically those related to circular arcs and linear segments, and provides step-by-step answers for self-assessment and verification of mathematical accuracy.","Name Date  \nPERIMETER OF A SEMI-CIRCLE PROBLEMS 2B  \nWorking out  \n1) A semicircular window has a radius of 32 cm.  \nWhat is the perimeter of the window? Give your answer to the nearest cm.  \n32 cm Perimeter of the window is    \n2)  \nThe arch below is made of two straight sections and a semi-circle. Work out the perimeter of the arch.  \nGive your answer to 1 decimal place.  \n3.5 m  \n5 m  \nPerimeter of the arch is    \n3) A running track is made up of 2 semi-circles at either end and a rectangle in the middle (see diagram below) . What is the perimeter of the track to the nearest yard?  \nPerimeter of the track is    \nName Date  \nPERIMETER OF A SEMI-CIRCLE PROBLEMS 2B ANSWERS  \nWorking out  \n1) A semicircular window has a radius of 32 cm.  \nWhat is the perimeter of the window? Give your answer to the nearest cm.  \nDiameter = 32 x 2 = 68 Perimeter = curved section + diameter.= π x 32 + 68 cm = 169 cm  \n32 cm Perimeter of the mirror is 169 cm.  \n2)  \nThe arch below is made of two straight sections and a semi-circle. Work out the perimeter of the arch.  \nGive your answer to 1 decimal place.  \n3.5 m  \n5 m  \nRadius of arch = 5 ÷ 2 = 2.5 m.  \nPerimeter = perimeter of semi-circle + two straight sections  \n= π x 2.5 + 2 x 3.5 = 11.4 m  \nThe perimeter of the arch is 11.4 m .  \n3) A running track is made up of 2 semi-circles at either end and a rectangle in the middle (see diagram below) . What is the perimeter of the track to the nearest yard?  \nPerimeter = perimeter of two semi-circles + perimeter of the sides. The two semi-circles add up to make one whole circle.  \nPerimeter of circle = π x 40 = 125.7 m  \nPerimeter of straight parts = 2 x 150 = 300 m.  \nTotal perimeter = 125.7 + 300 = 425.7 m  \nPerimeter of the track is 425.7 m","cbCaiqAVlszHf0vV","https://ap.wps.com/l/cbCaiqAVlszHf0vV","pdf",160874,3,"English","en",105,"# Problem Set: Perimeter of a Semi-Circle\n## Semicircular Window Problem\n## Arch Perimeter Calculation\n## Running Track Geometry\n# Answer Key and Solutions","[{\"question\":\"How do you calculate the perimeter of a semi-circle?\",\"answer\":\"The perimeter is calculated by finding the sum of the curved section (half the circumference of a full circle) and the straight diameter.\"},{\"question\":\"In the arch problem, why is the radius 2.5 meters?\",\"answer\":\"The problem states the arch width is 5 meters, which serves as the diameter of the semi-circle; therefore, the radius is half of that value, which is 2.5 meters.\"},{\"question\":\"How is the total perimeter of the running track determined?\",\"answer\":\"The total perimeter is found by combining the two semi-circles at the ends to form one full circle, then adding the lengths of the two parallel straight sides.\"}]","Perimeter of a Semi-Circle Problems - 2B | PDF",1792680698,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":138,"head_meta":140,"extra_data":142,"updated_unix":143},"perimeter-of-a-semi-circle-problems-2b","",{"@graph":86,"@context":137},[87,100,120],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,98],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":72},"https://docshare.wps.com/document/exam/",{"item":99,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/perimeter-of-a-semi-circle-problems-2b/637506/",{"url":99,"name":65,"@type":101,"image":102,"author":107,"headline":65,"publisher":109,"fileFormat":112,"inLanguage":74,"description":66,"dateModified":113,"datePublished":114,"encodingFormat":112,"isAccessibleForFree":115,"interactionStatistic":116},"DigitalDocument",{"url":103,"@type":104,"width":105,"height":106},"https://docshare.wps.com/thumbnails/perimeter-of-a-semi-circle-problems-2b/637506.png","ImageObject",300,407,{"name":63,"@type":108},"Person",{"url":91,"name":110,"@type":111},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":117,"interactionType":118,"userInteractionCount":72},"InteractionCounter",{"@type":119},"ViewAction",{"@type":121,"mainEntity":122},"FAQPage",[123,129,133],{"name":124,"@type":125,"acceptedAnswer":126},"How do you calculate the perimeter of a semi-circle?","Question",{"text":127,"@type":128},"The perimeter is calculated by finding the sum of the curved section (half the circumference of a full circle) and the straight diameter.","Answer",{"name":130,"@type":125,"acceptedAnswer":131},"In the arch problem, why is the radius 2.5 meters?",{"text":132,"@type":128},"The problem states the arch width is 5 meters, which serves as the diameter of the semi-circle; therefore, the radius is half of that value, which is 2.5 meters.",{"name":134,"@type":125,"acceptedAnswer":135},"How is the total perimeter of the running track determined?",{"text":136,"@type":128},"The total perimeter is found by combining the two semi-circles at the ends to form one full circle, then adding the lengths of the two parallel straight sides.","https://schema.org",{"og:url":99,"og:type":139,"og:title":65,"og:site_name":110,"og:description":66},"article",{"robots":141,"canonical":99},"index,follow",{"doc_id":61,"site_id":75},1793150536]