[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637831-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-637831-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-square-inscribed-by-a-circle-3-practice-worksheet","Area of a Square Inscribed by a Circle 3 - Practice Worksheet","","This educational worksheet provides a series of mathematical problems focusing on calculating the area of squares inscribed within circles. It includes four distinct geometry problems that require students to apply formulas related to circle properties, such as radius, diameter, circumference, and total area, to determine the area of the enclosed square. Additionally, the document provides an answer key with detailed step-by-step solutions for each problem, making it an excellent resource for students to check their understanding and practice geometry skills involving circular and square geometric relationships.",{"@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-square-inscribed-by-a-circle-3-practice-worksheet/637831/",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-square-inscribed-by-a-circle-3-practice-worksheet/637831.png","ImageObject",300,407,{"name":42,"@type":43},"RuangKosong","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate the area of a square inscribed in a circle if you know the radius?","Question",{"text":63,"@type":64},"The area of a square inscribed in a circle can be calculated using the formula 2r^2, where r represents the radius of the circle.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"If the circumference of the circle is 32π cm, what is the area of the inscribed square?",{"text":68,"@type":64},"Given the circumference 2πr = 32π, the radius r is 16 cm. Plugging this into the area formula 2r^2 results in 2 x (16)^2 = 512 cm^2.",{"name":70,"@type":61,"acceptedAnswer":71},"How is the shaded area of a circle found when a square is inside it?",{"text":72,"@type":64},"The area of the shaded part is found by subtracting the area of the inscribed square from the total area of the circle using the formula (πr^2) - (2r^2).","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},637831,1792857723,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"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":55,"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":55},962090883219,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Name Date  \nAREA OF A SQUARE INSCRIBED BY A CIRCLE 3  \nFind the area of these squares. Give your answers to 2dp where appropriate.  \n\n| 1) Find the area of the square\u003Cbr>|  |\n| --- | --- |\n| 2) Find the area of the shaded part of the circle.\u003Cbr>|  |\n| 3) Find the area of the square if the circumference of the circle is 32π cm.\u003Cbr>|  |\n| 4) Find the area of the square if the area of the whole circle is 225π cm2.\u003Cbr>|  |\n\nName Date  \nAREA OF A SQUARE INSCRIBED BY A CIRCLE 3 ANSWERS  \nFind the area of these squares. Give your answers to 2dp where appropriate.  \n\n| 1) Find the area of the square\u003Cbr>| The diameter of the circle is 3.6m.\u003Cbr>So the radius of the circle is 3.6 ÷ 2 = 1.8 m. The area of the square is:\u003Cbr>2r2 = 2 x (1 .8)2 = 2 x 3.24 = 6.48 m2 |\n| --- | --- |\n| 2) Find the area of the shaded part of the circle.\u003Cbr>| Area of the shaded part of the circle = area of circle – area of square.\u003Cbr>Area of circle = πr2 = π x 52 = 25π sq. ft\u003Cbr>Area of square = 2r 2 = 2 x 52 = 2 x 25 = 50 sq. ft Area of shaded part of circle = 25π – 50 sq. ft = 28.54 sq. ft (to 2dp) |\n| 3) Find the area of the square if the circumference of the circle is 32π cm.\u003Cbr>| Circumference of circle = 2πr cm = 32π cm. So 2πr = 32π\u003Cbr>πr = 16π\u003Cbr>r = 16π ÷ π = 16 cm.\u003Cbr>Area of square = 2r 2 = 2 x (16)2 = 2 x 256 = 512 cm2 |\n| 4) Find the area of the square if the area of the whole circle is 225π cm2.\u003Cbr>| Area of circle = πr2 = 225π cm2\u003Cbr>So πr2 = 225π\u003Cbr>r2 = 225π ÷ π = 225.\u003Cbr>So r = 15 cm.\u003Cbr>Area of square = 2r 2 = 2 x (15)2 = 2 x 225 = 450 cm2 |","cbCaieGJdyrHJVIB","https://ap.wps.com/l/cbCaieGJdyrHJVIB","pdf",156757,"English","# Area of a Square Inscribed by a Circle 3\n## Practice Problems\n## Answer Key","[{\"question\":\"How do you calculate the area of a square inscribed in a circle if you know the radius?\",\"answer\":\"The area of a square inscribed in a circle can be calculated using the formula 2r^2, where r represents the radius of the circle.\"},{\"question\":\"If the circumference of the circle is 32π cm, what is the area of the inscribed square?\",\"answer\":\"Given the circumference 2πr = 32π, the radius r is 16 cm. Plugging this into the area formula 2r^2 results in 2 x (16)^2 = 512 cm^2.\"},{\"question\":\"How is the shaded area of a circle found when a square is inside it?\",\"answer\":\"The area of the shaded part is found by subtracting the area of the inscribed square from the total area of the circle using the formula (πr^2) - (2r^2).\"}]","Area of a Square Inscribed by a Circle 3 - Practice Worksheet | PDF",1792681510]