[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-358742-105":59,"doc-detail-358742-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","circumference-of-a-circle-a-find-the-circumference-and-solve-word-problems","Circumference of a Circle (A) - Find the Circumference and Solve Word Problems","","Worksheet on finding the circumference of circles using C = πd or C = 2πr. Students express answers exactly in terms of π and approximately using π ≈ 3.14, for multiple given diameters and radii in units such as centimeters, meters, feet, inches, and yards. Includes word problems about a circular park, a circular track, a coin, and a wheel, plus a challenge involving inner and outer circumferences for a running track. An answer key provides worked results.",{"@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/circumference-of-a-circle-a-find-the-circumference-and-solve-word-problems/358742/",{"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-of-a-circle-a-find-the-circumference-and-solve-word-problems/358742.png","ImageObject",300,407,{"name":92,"@type":93},"Aurelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-27","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What formulas are used to find the circumference of a circle?","Question",{"text":112,"@type":113},"Use C = πd or C = 2πr, where d is diameter and r is radius.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should answers be written on this worksheet?",{"text":117,"@type":113},"Each answer must be given exactly in terms of π and also approximately using π ≈ 3.14.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the challenge problem ask students to do?",{"text":121,"@type":113},"It asks for the inner and outer circumferences of a track (using inner radius and outer radius) and then the difference between them to the nearest tenth.","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},358742,1790149449,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?_k=1776742907772140068","Name:  \n______________________________________  \nCircumference of a Circle (A)  \nRemember: Circumference is the distance around a circle. C = πd or C = 2πr where π ≈ 3.14. Express answers in terms of π (exact) AND as a decimal (approximate) .  \nDirections: Find the circumference of each circle. Express each answer in terms of π and as a decimal  \n(use π ≈ 3 . 14) .  \nPart 1—Find the Circumference  \n1.)  \nC =   π ≈   cm  \n3.)  \nC =   π ≈   ft  \n5.)  \nC =   π ≈   yd  \n2.)  \nC =   π ≈   m  \n4.)  \nC =   π ≈   in  \n6.)  \nC =   π ≈   cm  \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 2—Word Problems  \n7.) A circular park has a diameter of 15 feet. What is the circumference?  \nWork:   C ≈  \n8.) A circular track has a radius of 50 meters. How far is one lap?  \nWork:   C ≈  \n9.) A coin has a diameter of 2.4 cm.  \nWhat is its circumference?  \nWork:   C ≈ 10.) A wheel has a circumference of 62.8 inches. What is its diameter?  \nWork:   C ≈  \nChallenge Problem  \n\n|  |\n| --- |\n|  |\n|  |\n\na) A circular running track has an inner radius of 40 m and an outer radius of 43 m.  \nb) Find the difference between the outer and inner circumferences (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)  \nANSWER KEY  \nPart 1:  \n1.) C=πd=π×8=8π ≈ 25.1 cm  \n2.) C=πd=π×10=10π ≈ 31.4 m  \n3.) C=πd=π×14=14π ≈ 43.98 ft  \n4.) C=πd=π×6=6π ≈ 18.85 in  \n5.) C=πd=π×9=9π ≈ 28.27 yd  \n6.) C=πd=π×13.0=13π ≈ 40.84 cm  \nPart 2:  \n7.) C=π×15 47.1 ft  \n8.) C=2π×50 314 m  \n9.) C=π×2 .4 7.54 cm  \n10.) d=C÷π=62 .8÷3 .14 20 in  \nChallenge:  \na) Inner C = 2π×40 ≈ 251.3 m  \nb) Outer C = 2π×43 ≈ 270.2 m. Difference ≈ 18.9 m  \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)","cbCaikx9lXY1oIQc","https://ap.wps.com/l/cbCaikx9lXY1oIQc","pdf",1579166,"English","# Part 1—Find the Circumference\n## Problems 1-6\n# Part 2—Word Problems\n## Problems 7-10\n# Challenge Problem\n## Inner vs. Outer Circumferences","[{\"question\":\"What formulas are used to find the circumference of a circle?\",\"answer\":\"Use C = πd or C = 2πr, where d is diameter and r is radius.\"},{\"question\":\"How should answers be written on this worksheet?\",\"answer\":\"Each answer must be given exactly in terms of π and also approximately using π ≈ 3.14.\"},{\"question\":\"What does the challenge problem ask students to do?\",\"answer\":\"It asks for the inner and outer circumferences of a track (using inner radius and outer radius) and then the difference between them to the nearest tenth.\"}]","Circumference of a Circle (A) - Find the Circumference and Solve Word Problems | PDF",1790135143]