[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637828-105":59,"doc-detail-637828-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-square-inscribed-by-a-circle-2","Area of a Square Inscribed by a Circle - 2","","This educational document provides a structured set of math problems focusing on calculating the area of shaded regions formed when a square is inscribed within a circle. It includes detailed step-by-step solutions for four specific exercises, guiding students through the process of determining the radius, calculating the area of the circle and the inscribed square using geometric formulas, and subtracting the square's area from the circle's area to find the remaining shaded portion, rounded to one decimal place.",{"@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-square-inscribed-by-a-circle-2/637828/",{"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-square-inscribed-by-a-circle-2/637828.png","ImageObject",300,407,{"name":92,"@type":93},"RuangKosong","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"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 the shaded region between a circle and an inscribed square?","Question",{"text":112,"@type":113},"The area of the shaded region is found by subtracting the area of the inscribed square from the total area of the circle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What formula is used to calculate the area of the square inscribed in a circle?",{"text":117,"@type":113},"The area of a square inscribed in a circle is given by the formula 2 multiplied by the square of the radius (2r²).",{"name":119,"@type":110,"acceptedAnswer":120},"Why is the radius calculated by dividing the diameter by two?",{"text":121,"@type":113},"The diameter represents the full width of the circle, while the radius is half of that distance, which is necessary for calculating both the area of the circle (πr²) and the inscribed square.","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},637828,1792857722,{"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":14,"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},962090883219,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Name Date  \nAREA OF A SQUARE INSCRIBED BY A CIRCLE 2  \nFind the area of the shaded parts of each diagram. Give your answer to 1dp where appropriate.  \n| 1) | |\n| --- | --- |\n| 2) | |\n| 3) | |\n| 4) | |\n\nName Date  \nAREA OF A SQUARE INSCRIBED BY A CIRCLE 2 ANSWERS  \nFind the area of the shaded parts of each diagram.  \nGive your answer to 1dp where appropriate.  \n| 1) | | Area of square = 2r 2 = 2 x (12)2 = 2 x 144 = 288 cm2 |\n| --- | --- | --- |\n| 2) | | Area of square = 2r 2 = 2 x (9)2 = 2 x 81 = 162 cm 2 Area of circle = πr2 = π x 92 = 81π = 254.5cm2 Area of shaded region = area of circle – area of square = 254.5 – 162 cm2 = 92.5 cm2 (to 1dp) |\n| 3) | | Diameter = 14 in, so radius = 14 ÷ 2 = 7 in.\u003Cbr>Area of square = 2r 2 = 2 x (7)2 = 2 x 49 = 98 cm2 |\n| 4) | | Diameter = 11 cm, so radius = 11 ÷ 2 = 5.5 cm. Area of square = 2r2 = 2 x (5 .5)2 = 2 x 30.25 = 60.5 cm2\u003Cbr>Area of circle = πr2 = π x 5.52 = 30.25 π = 95.0 cm2 (to 1dp)\u003Cbr>Area of shaded region = 95.0 – 60.5 = 34.5 cm2 |","cbCaiuGqX4dlqgpX","https://ap.wps.com/l/cbCaiuGqX4dlqgpX","pdf",189171,"English","# Area of a Square Inscribed by a Circle 2\n## Practice Problems\n## Answer Key","[{\"question\":\"How do you calculate the area of the shaded region between a circle and an inscribed square?\",\"answer\":\"The area of the shaded region is found by subtracting the area of the inscribed square from the total area of the circle.\"},{\"question\":\"What formula is used to calculate the area of the square inscribed in a circle?\",\"answer\":\"The area of a square inscribed in a circle is given by the formula 2 multiplied by the square of the radius (2r²).\"},{\"question\":\"Why is the radius calculated by dividing the diameter by two?\",\"answer\":\"The diameter represents the full width of the circle, while the radius is half of that distance, which is necessary for calculating both the area of the circle (πr²) and the inscribed square.\"}]","Area of a Square Inscribed by a Circle - 2 | PDF",1792681506]