[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-358689-105":59,"doc-detail-358689-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-circle-word-problems-a","Area of a Circle - Word Problems (A)","","Area of a Circle—Word Problems (A) provides five-step practice for calculating circle areas using A = πr² with π ≈ 3.14. Learners compute areas from given radii, convert diameters to radii, and solve for radius and diameter when area is known. Problems also compare two smaller circular planters versus one larger circle and ask for the difference in covered area. An answer key is included for each question with results rounded per the directions.",{"@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-circle-word-problems-a/358689/",{"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-circle-word-problems-a/358689.png","ImageObject",300,407,{"name":92,"@type":93},"Aurelia","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",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formula is used to find the area of a circle in these problems?","Question",{"text":113,"@type":114},"The worksheet uses A = πr², where π ≈ 3.14.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"If the diameter is given, how do you find the radius?",{"text":118,"@type":114},"Compute the radius first using r = d ÷ 2.",{"name":120,"@type":111,"acceptedAnswer":121},"If the area is known, how can you find the radius and diameter?",{"text":122,"@type":114},"Back-solve with r = √(A ÷ π), then use d = 2r to get the diameter.","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},358689,1790441756,{"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},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?_k=1776742907772140068","Name:  \n______________________________________  \nArea of a Circle—Word Problems (A)  \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 Garden Center  \n1.) The Garden Center plants three sizes of circular garden beds: a herb bed with a radius of 3 meters, a flower bed with a radius of 5 meters, and a tree circle with a radius of 7.5 meters. Find each of the following:  \na.) The area of the herb bed (to the nearest tenth) .  \nb.) The area of the flower bed (to the nearest tenth) .  \nc.) The area of the tree circle (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.) The Garden Center is installing a circular fountain with a diameter of 6 meters. What is the area of the fountain (to the nearest hundredth of a square meter)?  \n3.) A landscape designer is deciding between two garden layouts: two circular planters each with a radius of 4 meters, or one large circular planter with a radius of 6 meters. Which layout covers more ground area, and by how much (to the nearest tenth)?  \n4.) A circular flower bed at the Garden Center has an approximate area of 314 square meters. What is the approximate radius and diameter of the flower bed (to the nearest meter)?  \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. ) Herb bed: A = πr² → A = π × 3² = π × 9 ≈ 28.3 m²  \nb. ) Flower bed: A = πr² → A = π × 5² = π × 25 ≈ 78.5 m²  \nc. ) Tree circle: A = πr² → A = π × 7.5² = π × 56.25 ≈ 176.7 m²  \n2.  \nr = d ÷ 2 = 6 ÷ 2 = 3 m  \nA = π × 3² = π × 9 ≈ 28.27 m²  \n3.  \nTwo planters: A = 2 × π × 4² = 2 × 50.27 ≈ 100.5 m²  \nOne large planter: A = π × 6² = π × 36 ≈ 113.1 m²  \n113.1 − 100.5 = 12.6 m²  \nThe one large planter covers 12.6 more square meters.  \n4.  \nA = π × r² → 314 = π × r² → r² = 314 ÷ π ≈ 100 r = √100 = 10 m  \nd = 2 × 10 = 20 m  \nThe radius is approximately 10 meters and the diameter is approximately 20 meters.  \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)","cbCaiuV5lgwWF4PW","https://ap.wps.com/l/cbCaiuV5lgwWF4PW","pdf",2147947,"English","# Area of a Circle - Word Problems (A)\n## Formula and Directions\n## Garden Center Problems\n## Answer Key","[{\"question\":\"What formula is used to find the area of a circle in these problems?\",\"answer\":\"The worksheet uses A = πr², where π ≈ 3.14.\"},{\"question\":\"If the diameter is given, how do you find the radius?\",\"answer\":\"Compute the radius first using r = d ÷ 2.\"},{\"question\":\"If the area is known, how can you find the radius and diameter?\",\"answer\":\"Back-solve with r = √(A ÷ π), then use d = 2r to get the diameter.\"}]","Area of a Circle - Word Problems (A) | PDF",1790134981]