[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633412-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-633412-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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","area-of-a-semi-circle-problems-2a-geometry-practice-worksheet","Area of a Semi-Circle Problems 2A - Geometry Practice Worksheet","","This educational worksheet provides a set of geometry problems focused on calculating the area of semi-circles and complex shapes involving semi-circular components. Designed for students, it presents three distinct problems: finding the area of a semi-circular window with a given radius, determining the area of a netball goal circle given its diameter, and calculating the total area of a running track comprised of a rectangle and two semi-circles. Each problem is accompanied by a detailed answer key providing the step-by-step mathematical procedures, including the necessary formulas, radius-diameter conversions, and final rounding requirements. This resource serves as a practical assessment tool for testing fundamental geometric competency and the application of circular area formulas in real-world contexts.",{"@graph":14,"@context":73},[15,34,56],{"@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/area-of-a-semi-circle-problems-2a-geometry-practice-worksheet/633412/",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/area-of-a-semi-circle-problems-2a-geometry-practice-worksheet/633412.png","ImageObject",300,407,{"name":42,"@type":43},"Margaret","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate the area of a semi-circle?","Question",{"text":63,"@type":64},"The area of a semi-circle is calculated using the formula (πr^2)/2, where r is the radius of the circle.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the area of a semi-circular window with a 14-inch radius?",{"text":68,"@type":64},"Using the formula (π x 14^2)/2, the area is approximately 308 square inches when rounded to the nearest square inch.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you determine the area of a running track composed of a rectangle and two semi-circles?",{"text":72,"@type":64},"The total area is the sum of the rectangle's area and the area of one full circle (since two identical semi-circles make one full circle). For a track with a 150-yard length, 40-yard width, and 20-yard radius, the area is calculated as (150 x 40) + (π x 20^2), totaling approximately 7257 square yards.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},633412,1793092348,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"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":96},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name Date  \nAREA OF A SEMI-CIRCLE PROBLEMS 2A  \n| Working out |  |  |\n| --- | --- | --- |\n| 1) A semicircular window has a radius of 14 inches. |  |  |\n| What is the area of the window? |  |  |\n| Give your answer to the nearest square inch.\u003Cbr>|  |  |\n| \u003Cbr>14 in. |  |  |\n| Area of the window is   |  |  |\n| 2) In netball, the goal circle is a semi-circle with a diameter of 32ft. What is the area of the goal circle.\u003Cbr>Give your answer to 1 decimal place. |  |  |\n| 32 ft | | \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 yard?  \n~~ 150 yd ~~  \nArea of the track is    \nName Date  \nAREA OF A SEMI-CIRCLE PROBLEMS 2A ANSWERS  \nWorking out  \n1) A semicircular window has a radius of 14 inches.  \nWhat is the area of the window?  \nGive your answer to the nearest square inch.  \n14 in.  \nArea of a semi-circle is (πr2 )/2 = (π x 142 )/2 = 98 π= 307.9 in2  \nArea of the window is 308 square inches.  \n2)  \n32 ft  \nIn netball, the goal circle is a semi-circle with a diameter of 32ft. What is the area of the goal circle.  \nGive your answer to 1 decimal place.  \n|  |\n| --- |\n| \u003Cbr>Goa l Circle |\n|  |\n\nArea of the goal circle is 402.1 square feet  \nRadius of goal = 32/2 = 16ft.  \nArea of a semi-circle is (πr2 )/2 = (π x 162 )/2 = 128 π = 402.1 ft2  \n3) A running track is made up of 2 semi-circles at either end Area of Running track = and a rectangle in the middle (see diagram below) . Area of rectangle + Area  \nWhat is the area of the track to the nearest yard? of 2 semi-circles.  \nArea of rectangle is 150 x  \n~~ 150 yd ~~ 40 = 6000 yd2  \nIf we put the two semicircles together, we get a  \n40 yd circle with radius 20 yd. Area of circle = πr2 = π x  \n202 = 400 π = 1256.6 yd2 So Area of running track =  \n6000 + 1256.6 = 7256.6 yd2  \nArea of the track is 7257 square yards.","cbCairluSs6c2DyP","https://ap.wps.com/l/cbCairluSs6c2DyP","pdf",162794,"English","# Area of a Semi-Circle Problems 2A\n## Problem 1: Semicircular Window\n## Problem 2: Netball Goal Circle\n## Problem 3: Running Track Dimensions\n# Answer Key\n## Solutions and Working Out","[{\"question\":\"How do you calculate the area of a semi-circle?\",\"answer\":\"The area of a semi-circle is calculated using the formula (πr^2)/2, where r is the radius of the circle.\"},{\"question\":\"What is the area of a semi-circular window with a 14-inch radius?\",\"answer\":\"Using the formula (π x 14^2)/2, the area is approximately 308 square inches when rounded to the nearest square inch.\"},{\"question\":\"How do you determine the area of a running track composed of a rectangle and two semi-circles?\",\"answer\":\"The total area is the sum of the rectangle's area and the area of one full circle (since two identical semi-circles make one full circle). For a track with a 150-yard length, 40-yard width, and 20-yard radius, the area is calculated as (150 x 40) + (π x 20^2), totaling approximately 7257 square yards.\"}]","Area of a Semi-Circle Problems 2A - Geometry Practice Worksheet | PDF",1792672107]