[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362030-105":59,"doc-detail-362030-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","area-of-a-circleword-problems-b-practice-questions","Area of a Circle—Word Problems (B) - Practice Questions","","Area of a Circle—Word Problems (B) provides step-by-step practice for finding the area of circular rugs using A = πr² with π approximated as 3.14. It includes problems using given radii, converting diameter to radius, back-solving radius from area, and comparing two design options by total floor coverage. An answer key demonstrates the calculations and rounding to the nearest tenth (or nearest foot when indicated).",{"@graph":69,"@context":123},[70,84,106],{"@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-circleword-problems-b-practice-questions/362030/",{"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-circleword-problems-b-practice-questions/362030.png","ImageObject",300,407,{"name":92,"@type":93},"McGucket","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formula and π value does this worksheet use?","Question",{"text":113,"@type":114},"It uses A = πr² with π approximated as 3.14.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find area when the diameter is given?",{"text":118,"@type":114},"First find the radius using r = d ÷ 2, then substitute into A = πr².",{"name":120,"@type":111,"acceptedAnswer":121},"How do you find the radius if the area is given?",{"text":122,"@type":114},"Back-solve using r = √(A ÷ π), then compute the diameter as d = 2r.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},362030,1790270442,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:     \nArea of a Circle—Word Problems ( B)  \nRemember: A = πr² , where π ≈ 3.14. If given diameter, find radius first: r = d ÷ 2.  \nTo back-solve for radius: r = √(A ÷ π) .  \nDirections: Show all work. Express answers to the nearest tenth unless told otherwise. Use π ≈ 3.14.  \nThe Circular Rug Company  \n1.) The Circular Rug Company sells three sizes of round rugs: a small rug with a radius of 2.5 feet, a medium rug with a radius of 4 feet, and a large rug with a radius of 6 feet. Find each of the following:  \na.) The area of the small rug (to the nearest tenth) .  \nb.) The area of the medium rug (to the nearest tenth) .  \nc.) The area of the large rug (to the nearest tenth) .  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n2.) A customer orders a custom circular rug with a diameter of 11 feet. What is the area of the custom rug (to the nearest tenth of a square foot)?  \n3.) A designer is comparing two options for a living room: two round rugs each with a radius of 4 feet, or one large round rug with a radius of 6 feet. Which option covers more floor area, and by how much (to the nearest tenth)?  \n4.) The Circular Rug Company makes a special extra-large rug that has an approximate area of 200.96 square feet. What is the approximate radius and diameter of this rug (to the nearest foot)?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.  \na. ) Small rug: A = πr² → A = π × 2.5² = π × 6.25 ≈ 19.6 ft²  \nb. ) Medium rug: A = πr² → A = π × 4² = π × 16 ≈ 50.3 ft²  \nc. ) Large rug: A = πr² → A = π × 6² = π × 36 ≈ 113.1 ft²  \n2.  \nr = d ÷ 2 = 11 ÷ 2 = 5.5 ft  \nA = π × 5.5² = π × 30.25 ≈ 95.0 ft²  \n3.  \nTwo medium rugs: A = 2 × π × 4² = 2 × 50.27 ≈ 100.5 ft²  \nOne large rug: A = π × 6² = π × 36 ≈ 113.1 ft²  \n113.1 − 100.5 = 12.6 ft²  \nThe one large rug covers 12.6 more square feet than the two medium rugs.  \n4.  \nA = π × r² → 200.96 = π × r² → r² = 200.96 ÷ π ≈ 64 r = √64 = 8 ft  \nd = 2 × 8 = 16 ft  \nThe radius is approximately 8 feet and the diameter is approximately 16 feet.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaitIcb8JyXtfY","https://ap.wps.com/l/cbCaitIcb8JyXtfY","pdf",930644,"English","# Area Formula and Directions\n## Finding area from radius\n## Converting diameter to radius\n## Comparing two rug layouts\n## Back-solving radius and diameter","[{\"question\":\"What formula and π value does this worksheet use?\",\"answer\":\"It uses A = πr² with π approximated as 3.14.\"},{\"question\":\"How do you find area when the diameter is given?\",\"answer\":\"First find the radius using r = d ÷ 2, then substitute into A = πr².\"},{\"question\":\"How do you find the radius if the area is given?\",\"answer\":\"Back-solve using r = √(A ÷ π), then compute the diameter as d = 2r.\"}]","Area of a Circle—Word Problems (B) - Practice Questions | PDF",1790146307]