[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633355-105":59,"doc-detail-633355-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-3-4-circles-sheet-2-practice-exercises","Area of 3-4 Circles - Sheet 2 - Practice Exercises","","This document provides a set of mathematical practice exercises focused on calculating the area of three-quarter circles. It includes six specific problems where users are required to use either the radius or diameter of the circle to determine the final area, with instructions to round the results to two decimal places. The content is structured into two parts: a problem sheet for student practice and a corresponding answer key that provides detailed step-by-step working, including the conversion of diameters to radii where necessary and the application of the pi-based area formula for partial circular shapes. This resource is designed for students learning geometry, offering clear examples for independent study and assessment. The material is practical and concise, serving as an effective educational tool for reinforcing fundamental geometric principles regarding circular area calculations in various units of measurement such as inches, feet, and meters.",{"@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-3-4-circles-sheet-2-practice-exercises/633355/",{"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-3-4-circles-sheet-2-practice-exercises/633355.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":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the formula used to calculate the area of a three-quarter circle?","Question",{"text":112,"@type":113},"The area of a three-quarter circle is calculated by multiplying three-quarters by pi and the square of the circle's radius, expressed as (3/4) * π * r².","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should the final area measurements be presented?",{"text":117,"@type":113},"According to the instructions, all final area answers should be rounded to two decimal places.",{"name":119,"@type":110,"acceptedAnswer":120},"What should be done if the problem provides a diameter instead of a radius?",{"text":121,"@type":113},"If a diameter is provided, it must be divided by two to determine the radius before applying the area formula.","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},633355,1793037514,{"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":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","AREA OF ¾ CIRCLES SHEET 2  \nUse the radius or diameter measurement to find the area of these ¾ circles. Give your answers to 2dp.  \n\n|  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>|  |  |  |\n| 2) | \u003Cbr>7 in |  |  |  |\n| 3) | \u003Cbr>9 ft |  |  |  |\n| 4) | \u003Cbr> 1.8 m |  |  |  |\n| 5) | | ft |  |  |\n| 6) | \u003Cbr>2.6 m |  |  |  |\n\nAREA OF ¾ CIRCLES SHEET 2 ANSWERS  \nUse the radius or diameter measurement to find the area of these ¾ circles. Give your answers to 2dp.  \n\n|  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>|  | Radius = 15 cm\u003Cbr>¾ x π x 152 = ¾ x π x 225 = (675/4) π= 530.14 to 2dp | 530.14 cm2 |\n| 2) | \u003Cbr>7 in |  | Diameter = 7 in, so Radius = 3 ½ in\u003Cbr>¾ x π x (3 ½)2 = ¾ x π x (49/4) = (147/16) π= 28.86 to 2dp | 28.86 in2 |\n| 3) | \u003Cbr>9 ft |  | Diameter = 9 ft, so Radius = 4 ½ ft\u003Cbr>¾ x π x (4 ½)2 = ¾ x π x (81/4) = (243/16) π= 47.71 to 2dp | 47.71 ft2 |\n| 4) | \u003Cbr> 1.8 m |  | Radius = 1.8 m\u003Cbr>¾ x π x 1.82 = ¾ x π x 3.24 = 2.43 π= 7.63 to 2dp | 7.63 m2 |\n| 5) | | ft | Radius = 6 ¼ ft\u003Cbr>¾ x π x (6 ¼)2 = ¾ x π x 625/16 = (1875/64) π = 92.04 to 2dp | 92.04 ft2 |\n| 6) | \u003Cbr>2.6 m |  | Diameter = 2.6 m, so Radius = 1.3 m ¾ x π x (1 .3)2 = ¾ x π x 1.69 = 1.2675 π= 3.98 to 2dp | 3.98 m2 |","cbCaif2utFqkMsQA","https://ap.wps.com/l/cbCaif2utFqkMsQA","pdf",178187,"English","# Practice Problems\n## Area Calculation Exercises\n# Answer Key\n## Step-by-Step Solutions","[{\"question\":\"What is the formula used to calculate the area of a three-quarter circle?\",\"answer\":\"The area of a three-quarter circle is calculated by multiplying three-quarters by pi and the square of the circle's radius, expressed as (3/4) * π * r².\"},{\"question\":\"How should the final area measurements be presented?\",\"answer\":\"According to the instructions, all final area answers should be rounded to two decimal places.\"},{\"question\":\"What should be done if the problem provides a diameter instead of a radius?\",\"answer\":\"If a diameter is provided, it must be divided by two to determine the radius before applying the area formula.\"}]","Area of 3-4 Circles - Sheet 2 - Practice Exercises | PDF",1792672033]