[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633375-105":59,"doc-detail-633375-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-3a-learning-assessment","Area of a Circle Word Problems 3A - Learning Assessment","","This document provides a set of practical word problems focused on calculating the area of circles within various geometric contexts. Designed as an educational resource, it features two primary problems: determining the area of a frame surrounding a circular mirror and calculating the remaining area of a rectangular lawn after a circular flower bed is installed. Each problem is presented with clear parameters, and the document includes a comprehensive answer key with step-by-step mathematical working to assist students in understanding the application of the area formula, A = πr², in real-world scenarios. The content is suitable for learners practicing geometry and measurement skills, ensuring they understand how to derive radii from diameters and subtract overlapping areas to reach precise solutions rounded to one decimal place.",{"@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-3a-learning-assessment/633375/",{"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-3a-learning-assessment/633375.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"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 the circular frame around the mirror?","Question",{"text":112,"@type":113},"To find the area of the frame, calculate the area of the outer circle (mirror plus frame) and subtract the area of the inner circular mirror using the formula πr².","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the area of the remaining lawn after a circular flower bed is created?",{"text":117,"@type":113},"The remaining lawn area is found by subtracting the area of the circular flower bed from the total area of the rectangular lawn (12 yards by 8 yards).",{"name":119,"@type":110,"acceptedAnswer":120},"How is the radius determined for these problems?",{"text":121,"@type":113},"The radius is determined by dividing the given diameter of the circle by two.","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},633375,1792879066,{"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":19,"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 3A  \nWork out these area word problems giving your answers to 1 decimal place.  \n\n|  |  | Working out |\n| --- | --- | --- |\n| 1) A circular mirror has a 1 inch frame around it.\u003Cbr>The mirror itself is 8 inches in diameter.\u003Cbr>What is the area of the frame? |  |  |\n| 1 inch | |  |\n| The area of the frame is   |  |  |\n| 2) A circular flower bed 5 yards in diameter is created in the middle of a rectangular lawn area measuring\u003Cbr>12 yards by 8 yards.\u003Cbr>What is the area of the lawn that is left?\u003Cbr>12 yards\u003Cbr>\u003Cbr>The area of lawn is   |  |  |\n\nName Date  \nAREA OF A CIRCLE WORD PROBLEMS 3A ANSWERS  \nWork out these area word problems giving your answers to 1 decimal place.  \n\n|  |  | Working out |\n| --- | --- | --- |\n| 1) A circular mirror has a 1 inch frame around it. The mirror itself is 8 inches in diameter. What is the area of the frame?\u003Cbr>8 inches\u003Cbr>\u003Cbr>\u003Cbr>1 inch |  | Radius of mirror = 8 ÷ 2 = 4 inches\u003Cbr>Area of mirror is Π r2 which is Π x 42 = 16 Π . Radius of mirror and frame = 10 ÷ 2 = 5 inches Area of mirror and frame = Π x 52 = 25Π .\u003Cbr>Area of frame = area of mirror and frame – area of mirror.\u003Cbr>Area of frame = 25Π -16 Π= 9 Π = 28.3 in2 |\n| The area of the frame is 28.3 square inches |  |  |\n| 2) A circular flower bed 5 yards in diameter is created in the middle of a rectangular lawn area measuring\u003Cbr>12 yards by 8 yards.\u003Cbr>What is the area of the lawn that is left? |  | Area of lawn and flowerbed = 12 x 8 = 96 square yards.\u003Cbr>Radius of bed = 5 ÷ 2 = |\n|  12 yards  |  | 2.5 yards.\u003Cbr>Area of flower bed = Π r2 |\n| 8 yards | | = Π x 2.52 = 19.6 square yards.\u003Cbr>Area of lawn = area of lawn and bed – area of bed\u003Cbr>= 96 – 19.6 = 76.4 square yards. |\n| The area of lawn is 76.4 square yards. |  |  |","cbCaihRbFQKz9lAh","https://ap.wps.com/l/cbCaihRbFQKz9lAh","pdf",164898,"English","# Word Problems\n## Circular Mirror Frame Calculation\n## Rectangular Lawn with Circular Flower Bed\n# Answer Key\n## Mirror Frame Solution\n## Remaining Lawn Area Solution","[{\"question\":\"How do you calculate the area of the circular frame around the mirror?\",\"answer\":\"To find the area of the frame, calculate the area of the outer circle (mirror plus frame) and subtract the area of the inner circular mirror using the formula πr².\"},{\"question\":\"What is the area of the remaining lawn after a circular flower bed is created?\",\"answer\":\"The remaining lawn area is found by subtracting the area of the circular flower bed from the total area of the rectangular lawn (12 yards by 8 yards).\"},{\"question\":\"How is the radius determined for these problems?\",\"answer\":\"The radius is determined by dividing the given diameter of the circle by two.\"}]","Area of a Circle Word Problems 3A - Learning Assessment | PDF",1792672062]