[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362155-105":59,"doc-detail-362155-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","circumference-and-area-of-circlesmixed-review-b","Circumference and Area of Circles—Mixed Review (B)","","Mixed review worksheet focused on circumference and area of circles, including using π for approximations and applying formulas C = πd = 2πr and A = πr². Students solve direct problems for circumference and area, then back-solve to find radius or diameter from given circumference or area measurements. Word problems require calculating both circumference and area for real-life circular designs and comparing circumference for two circles. Answer key provides worked results.",{"@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/circumference-and-area-of-circlesmixed-review-b/362155/",{"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/circumference-and-area-of-circlesmixed-review-b/362155.png","ImageObject",300,407,{"name":92,"@type":93},"Mimi","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",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formulas does the worksheet use for circumference and area?","Question",{"text":113,"@type":114},"It uses C = πd = 2πr for circumference and A = πr² for area, with π ≈ 3.14 noted on the page.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you handle the back-solve problems?",{"text":118,"@type":114},"Work backward from the given circumference or area to solve for the missing radius or diameter, showing the steps clearly and using appropriate units.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of word problems are included?",{"text":122,"@type":114},"Students find circumference and area for circular real-world situations, such as a circular tapestry and garden, and they also compare which circle has more circumference.","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},362155,1790247063,{"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":19,"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":52,"preview_page_count":4},2336477974920,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:  \n______________________________________  \nCircumference and Area of Circles—Mixed Review ( B)  \nRemember: C = πd = 2πr A = πr² r = d ÷ 2 π ≈ 3.14  \nDirections: This review covers circumference, area, and back-solving. Show your work and use appropriate units!  \nPart 1—Find the Circumference  \n1.) 2.) 3.)  \nC =   π ≈   C =   π ≈   C =   π ≈    \nPart 2—Find the Area  \n4.) 5.) 6.)  \nA =   π ≈   A =   π ≈   A =   π ≈    \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)  \nPart 3—Back-Solve (Show your work!)  \n7.) A circle has a circumference of 31.4 m.  \nFind the radius.  \n8.) A circle has a circumference of 43.96 yd.  \nFind the diameter.  \n9.) A circle has an area of 50.24 cm² .  \nFind the radius.  \nPart 4—Word Problems  \n10.) A circular tapestry has a diameter of 24 inches.  \nFind both its circumference and area.  \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)  \n11.) A circular garden has a radius of 5 m. Find both the circumference and area.  \n12.) Which has more circumference: Circle A with diameter 15 cm, or Circle B with radius 9 cm?  \nHow do you know?  \n13.) Challenge Problem  \nA circular herb garden has a radius of 6 m.  \nA gardener wants to fence the outside and also put down soil.  \nFind the circ umference (fencing needed) and the area (soil needed) . Use π≈3 .14.  \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  \nPart 1 (C):  \n1.) C=π×8=8π ≈ 25.1 cm  \n2.) C=π×10=10π ≈ 31.4 m  \n3.) C=π×14=14π ≈ 43.98 ft  \nPart 2 (A):  \n4.) A=π×6²=36π ≈ 113.1 cm²  \n5.) A=π×7.0²=49π ≈ 153.9 m²  \n6.) A=π×4²=16π ≈ 50.27 ft²  \nPart 3 (Back-solve):  \n7.) d=31 .4÷3 . 14=10; r=5 r = 5 m  \n8.) d=43 .96÷3 .14 d ≈ 14 yd  \n9.) r²=50 .24÷3 . 14=16; r=4 r = 4 cm  \nPart 4 (Word):  \n10.) C=π×24≈75 .4 in; A=π×144≈452 .4 in² C≈75.4 in, A≈452.4 in²  \n11.) C=2π×5≈31 .4 m; A=π×25≈78 .5 m² C≈31.4 m, A≈78.5 m²  \n12.) A: C=15π≈47 . 1; B: d=18, C=18π≈56 .5 Circle B (56.5 > 47.1 cm)  \n13.) Challenge:  \nC=2π×6=12π≈37 .68 m of fencing A=π×36=36π≈113 .04 m² of soil  \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)","cbCaioO82wsdi4Az","https://ap.wps.com/l/cbCaioO82wsdi4Az","pdf",3687335,"English","# Part 1—Find the Circumference\n# Part 2—Find the Area\n# Part 3—Back-Solve (Show your work!)\n# Part 4—Word Problems","[{\"question\":\"What formulas does the worksheet use for circumference and area?\",\"answer\":\"It uses C = πd = 2πr for circumference and A = πr² for area, with π ≈ 3.14 noted on the page.\"},{\"question\":\"How do you handle the back-solve problems?\",\"answer\":\"Work backward from the given circumference or area to solve for the missing radius or diameter, showing the steps clearly and using appropriate units.\"},{\"question\":\"What types of word problems are included?\",\"answer\":\"Students find circumference and area for circular real-world situations, such as a circular tapestry and garden, and they also compare which circle has more circumference.\"}]","Circumference and Area of Circles—Mixed Review (B) | PDF",1790146608]