[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633406-105":59,"doc-detail-633406-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-semi-circle-problems-1a","Area of a Semi-Circle Problems - 1A","","This document provides a set of practical geometry problems focused on calculating the area of semi-circles. It includes three distinct exercises where students must determine the area of various semicircular shapes, such as a pond, a mirror, and a patio, based on given dimensions like radius and diameter. Each problem requires students to apply the formula for the area of a circle divided by two, with specific instructions for rounding their answers. The document also provides a comprehensive answer key with detailed step-by-step mathematical working out, serving as an effective resource for teachers and students practicing basic geometry skills. The content is designed to reinforce the understanding of circular area calculations and the conversion from diameter to radius in a clear, instructional format.",{"@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-semi-circle-problems-1a/633406/",{"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-semi-circle-problems-1a/633406.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":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the formula for calculating the area of a semi-circle?","Question",{"text":112,"@type":113},"The area of a semi-circle is calculated using the formula (πr²)/2, where r is the radius of the circle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the area if the diameter is provided instead of the radius?",{"text":117,"@type":113},"To find the area when the diameter is provided, first divide the diameter by 2 to obtain the radius, then apply the standard semi-circle area formula.",{"name":119,"@type":110,"acceptedAnswer":120},"What units should be used for the final answers in these problems?",{"text":121,"@type":113},"The units should be expressed in square units corresponding to the linear units provided in the problem, such as square feet (ft²), square inches (in²), or square yards (yd²).","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},633406,1792900695,{"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":34,"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 SEMI-CIRCLE PROBLEMS 1A  \n| Working out |  |\n| --- | --- |\n| 1) | A semicircular pond has a radius of 5 ft.\u003Cbr>What is the area of the pond to the nearest square foot?\u003Cbr>\u003Cbr>\u003Cbr>5 ft\u003Cbr>Area of the pond is   |\n| 2) | A semicircular mirror has a radius of 10 inches. What is the area of the mirror?\u003Cbr>Give your answer to 1dp\u003Cbr>\u003Cbr>10 in. Area of the mirror is   |\n| 3) | A semicircular patio has a diameter of 32 yards. What is the area of the patio?\u003Cbr>Give your answer to the nearest square yard.\u003Cbr>\u003Cbr>32 yd\u003Cbr>The patio has an area of   |\n\nName Date  \nAREA OF A SEMI-CIRCLE PROBLEMS 1A ANSWERS  \n| Working out |  |  |\n| --- | --- | --- |\n| 1) | A semicircular pond has a radius of 5 ft.\u003Cbr>What is the area of the pond to the nearest square foot?\u003Cbr>\u003Cbr>\u003Cbr>5 ft\u003Cbr>Area of the pond is 39 ft2. | Area of pond = (πr2 )/2 = (π x 52 )/2 = 25/2 π = 39.3 ft2 |\n| 2) | A semicircular mirror has a radius of 10 inches. What is the area of the mirror?\u003Cbr>Give your answer to 1dp\u003Cbr>\u003Cbr>10 in. Area of the mirror is 157.1 in2 | Area of mirror = (πr2 )/2 = (π x 102 )/2 = 50π = 157.1 in2 |\n| 3) | A semicircular patio has a diameter of 32 yards. What is the area of the patio?\u003Cbr>Give your answer to the nearest square yard.\u003Cbr>\u003Cbr>32 yd\u003Cbr>The patio has an area of 402 square yards. | Radius of patio = 32/2 = 16 yards.\u003Cbr>Area of patio = (πr2 )/2 = (π x 162 )/2 = 128π = 402.1 yd2 |","cbCaisWBe8g5cm8q","https://ap.wps.com/l/cbCaisWBe8g5cm8q","pdf",155520,"English","# Area of a Semi-Circle Problems 1A\n## Practice Exercises\n## Answer Key","[{\"question\":\"What is the formula for calculating the area of a semi-circle?\",\"answer\":\"The area of a semi-circle is calculated using the formula (πr²)/2, where r is the radius of the circle.\"},{\"question\":\"How do you find the area if the diameter is provided instead of the radius?\",\"answer\":\"To find the area when the diameter is provided, first divide the diameter by 2 to obtain the radius, then apply the standard semi-circle area formula.\"},{\"question\":\"What units should be used for the final answers in these problems?\",\"answer\":\"The units should be expressed in square units corresponding to the linear units provided in the problem, such as square feet (ft²), square inches (in²), or square yards (yd²).\"}]","Area of a Semi-Circle Problems - 1A | PDF",1792672098]