[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633413-105":59,"doc-detail-633413-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-semi-circle-problems-2b-practice-exercises","Area of a Semi-Circle Problems 2B - Practice Exercises","","This document contains a series of mathematical practice problems focused on calculating the area of semi-circles and composite shapes. It provides three distinct exercises, including finding the area of a semicircular window given its radius, determining the area of a netball goal circle using its diameter, and calculating the total area of a running track composed of a central rectangle and two semicircular ends. Comprehensive step-by-step answers and working methodologies are included to assist students in understanding the application of the area formula (πr²)/2. The materials are structured for educational assessment, offering clear problem statements and detailed solutions to reinforce geometry skills and accuracy in numerical rounding.",{"@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-semi-circle-problems-2b-practice-exercises/633413/",{"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-semi-circle-problems-2b-practice-exercises/633413.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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},"How do you calculate the area of a semi-circle?","Question",{"text":112,"@type":113},"The area of a semi-circle is calculated using the formula (πr²)/2, where 'r' represents the radius of the circle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the area of the running track calculated in Problem 3?",{"text":117,"@type":113},"The total area is found by adding the area of the central rectangle (150m x 40m) to the combined area of the two semicircular ends, which form a single complete circle with a radius of 20m.",{"name":119,"@type":110,"acceptedAnswer":120},"Why does the area of the running track result in 7257 m²?",{"text":121,"@type":113},"The area consists of the rectangle (6000 m²) and the two semicircles (approximately 1256.6 m²), summing to 7256.6 m², which is then rounded to the nearest square meter as 7257 m².","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},633413,1792879063,{"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","Name Date  \nAREA OF A SEMI-CIRCLE PROBLEMS 2B  \n| Working out |  |\n| --- | --- |\n| 1) A semicircular window has a radius of 30cm.\u003Cbr>What is the area of the window?\u003Cbr>Give your answer to the nearest square cm.\u003Cbr>\u003Cbr>\u003Cbr>30 cm Area of the window is   |  |\n| 2) In netball, the goal circle is a semi-circle with a diameter of 9.75 m. What is the area of the goal circle.\u003Cbr>Give your answer to 1 decimal place. |  |\n| 9.75 m  | \u003Cbr>Goa l Circle |\n| Area of the goal circle is   |  |\n\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 area of the track to the nearest m2 ?  \n150 m  \n40 m  \nArea of the track is    \nName Date  \nAREA OF A SEMI-CIRCLE PROBLEMS 2B ANSWERS  \nWorking out  \n1) A semicircular window has a radius of 30cm.  \nWhat is the area of the window?  \nGive your answer to the nearest square cm.  \nArea of a semi-circle is (πr2 )/2 = (π x 302 )/2 = 450 π = 1413.7 cm2  \n30 cm Area of the window is 1414 cm2  \n2) In netball, the goal circle is a semi-circle with a diameter of 9.75 m. What is the area of the goal circle.  \nGive your answer to 1 decimal place.  \n9.75 m   \n\n|  |\n| --- |\n| \u003Cbr>Goa l Circle |\n|  |\n\nArea of the goal circle is 37.3 m2  \nRadius of goal = 9. 75/2 = 4.875  \nArea of a semi-circle is (πr2 )/2 = (π x 4.8752 )/2 = 37.3 m2  \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 area of the track to the nearest m2 ?  \n150 m  \n40 m  \nArea of Running track = Area of rectangle + Area of 2 semi-circles.  \nArea of rectangle is 150 x 40 = 6000 m2  \nIf we put the two semicircles together, we get acircle with radius 20 m. Area of circle = πr2 = π x 202 = 400 π = 1256.6 m2 So Area of running track = 6000 + 1256.6 = 7256.6 m2  \nArea of the track is 7257 m2","cbCaiiFIMlmuEGpD","https://ap.wps.com/l/cbCaiiFIMlmuEGpD","pdf",161735,"English","# Problem 1: Semicircular Window\n# Problem 2: Netball Goal Circle\n# Problem 3: Running Track Area\n# Answers and Working Methods","[{\"question\":\"How do you calculate the area of a semi-circle?\",\"answer\":\"The area of a semi-circle is calculated using the formula (πr²)/2, where 'r' represents the radius of the circle.\"},{\"question\":\"How is the area of the running track calculated in Problem 3?\",\"answer\":\"The total area is found by adding the area of the central rectangle (150m x 40m) to the combined area of the two semicircular ends, which form a single complete circle with a radius of 20m.\"},{\"question\":\"Why does the area of the running track result in 7257 m²?\",\"answer\":\"The area consists of the rectangle (6000 m²) and the two semicircles (approximately 1256.6 m²), summing to 7256.6 m², which is then rounded to the nearest square meter as 7257 m².\"}]","Area of a Semi-Circle Problems 2B - Practice Exercises | PDF",1792672109]