[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633372-105":59,"doc-detail-633372-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-circle-word-problems-2b","Area of a Circle Word Problems - 2B","","This educational document provides a structured set of word problems focused on calculating the area of circles and determining diameters based on area. The exercises range from calculating the area of a circular flower bed given its diameter, finding the coverage area of a cell phone mast with a specified range, to solving for the diameter of a mirror when the area is known in terms of Pi. Each problem is accompanied by a detailed answer key that explains the step-by-step mathematical reasoning, including the application of radius and diameter formulas, providing a comprehensive learning resource for geometry students to master circle area calculations and algebraic manipulation of geometric constants.",{"@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-circle-word-problems-2b/633372/",{"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-2b/633372.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"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 a circle given its diameter?","Question",{"text":112,"@type":113},"First, divide the diameter by two to find the radius. Then, use the formula Area = πr², where r is the radius, to calculate the result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"If a cell phone mast has a 5km range, what is the total area covered?",{"text":117,"@type":113},"Using the radius of 5km in the formula Area = πr², the area is approximately 78.5 square km.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the diameter of a circular mirror calculated when the area is given as 144π square cm?",{"text":121,"@type":113},"Set the area formula πr² equal to 144π. Dividing by π gives r² = 144, so the radius r is 12 cm. Since the diameter is twice the radius, the diameter is 24 cm.","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},633372,1792879067,{"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":39,"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},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name Date  \nAREA OF A CIRCLE WORD PROBLEMS 2B  \nWork out these area word problems – give your answers to 1 decimal place where appropriate.  \n\n| Working out |  |\n| --- | --- |\n| 1) | A circular flower bed has a diameter of 7m.\u003Cbr>Work out the area of the flower bed.\u003Cbr>\u003Cbr>7m\u003Cbr>Area of the flower bed is   square yards.\u003Cbr>|\n| 2) | A cell phone mast has a range of 5km in all\u003Cbr>directions. Work out the area covered by one mast. |\n|  | |\n|  | Area covered by the mast is   . |\n| 3) A circular mirror has an area of 144 Π square cm. What is the diameter of the mirror?\u003Cbr>\u003Cbr>The diameter of the mirror is   cm. |  |\n\nName Date  \nAREA OF A CIRCLE WORD PROBLEMS 2B ANSWERS  \n| Working out |  |  |\n| --- | --- | --- |\n| 1) A circular flower bed has a diameter of 7m.\u003Cbr>Work out the area of the flower bed.\u003Cbr>7m\u003Cbr>Area of the flower bed is 38.5 square yards.\u003Cbr>| Radius = Diameter ÷ 2 = 7 ÷ 2 = 3.5 m\u003Cbr>Area = Π r2 = Π x 3.52 = Π x 12.25 = 38.5 square m |  |\n| 2) A cell phone mast has a range of 5km in all directions. Work out the area covered by one mast. |  | Area = Π r2 = Π x 52 = Π x 25 = 78.5 square km |\n| |  |  |\n| Area covered by the mast is 78.5 km2. |  |  |\n| 3) A circular mirror has an area of 144 Π square cm. What is the diameter of the mirror?\u003Cbr>\u003Cbr>The diameter of the mirror is 24 cm. | Area = Π r2 = 144 Π If we divide both sides of the equation by Π, we get\u003Cbr>r2 = 144\u003Cbr>So r = √144 = 12 cm If the radius is 12 inches, then the diameter must be double this which is 24 cm. |  |","cbCairszIjVdLVKg","https://ap.wps.com/l/cbCairszIjVdLVKg","pdf",161811,"English","# Circular Area Word Problems\n## Problem Descriptions\n## Detailed Answer Key","[{\"question\":\"How do you calculate the area of a circle given its diameter?\",\"answer\":\"First, divide the diameter by two to find the radius. Then, use the formula Area = πr², where r is the radius, to calculate the result.\"},{\"question\":\"If a cell phone mast has a 5km range, what is the total area covered?\",\"answer\":\"Using the radius of 5km in the formula Area = πr², the area is approximately 78.5 square km.\"},{\"question\":\"How is the diameter of a circular mirror calculated when the area is given as 144π square cm?\",\"answer\":\"Set the area formula πr² equal to 144π. Dividing by π gives r² = 144, so the radius r is 12 cm. Since the diameter is twice the radius, the diameter is 24 cm.\"}]","Area of a Circle Word Problems - 2B | PDF",1792672060]