[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-633376-en":3,"detail-sidebar-cat-0-en-105":30,"doc-seo-633376-105":79},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":11,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},633376,137451207643,"Margaret","https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2",4,"Exam","Area of a Circle Word Problems 3B - Mathematics Practice Exercises","This document provides a set of geometry practice problems focused on calculating the area of a circle within real-world contexts, such as circular mirrors with frames and circular flower beds on rectangular lawns. Each problem requires students to apply geometric formulas for circles, including radius and diameter calculations, and area subtraction methods to determine remaining surface areas. The content includes both the problem sheets for student use and a comprehensive answer key with step-by-step working, making it an excellent resource for educational assessment, classroom instruction, and home-based mathematics review. By solving these word problems, learners gain practical experience in applying mathematical concepts to everyday scenarios while honing their precision in decimal calculations. The clear, structured format facilitates self-study and independent verification of mathematical proficiency in geometry.","Name Date  \nAREA OF A CIRCLE WORD PROBLEMS 3B  \nWork out these area word problems giving your answers to 1 decimal place.  \nWorking out  \n1) A small circular mirror has a 1 cm frame around it.  \nThe mirror itself is 8 cm in diameter.  \nWhat is the area of the frame?  \n8 cm  \nThe area of the frame is    \n2) A circular flower bed 5m in diameter is created in the middle of a rectangular lawn area measuring 12m by 8m.  \nWhat is the area of the lawn that is left?  \n12 m  \nThe area of lawn is    \nName Date  \nAREA OF A CIRCLE WORD PROBLEMS 3B ANSWERS  \nWork out these area word problems giving your answers to 1 decimal place.  \nWorking out  \n1) A small circular mirror has a 1 cm frame around it.  \nThe mirror itself is 8 cm in diameter.  \nWhat is the area of the frame?  \nThe area of the frame is 28.3 cm2  \nRadius of mirror = 8 ÷ 2 = 4 cm  \nArea of mirror is Π r2 which is Π x 42 = 16 Π . Radius of mirror and frame = 10 ÷ 2 = 5 cm Area of mirror and frame = Π x 52 = 25 Π .  \nArea of frame = area of mirror and frame – area of mirror.  \nArea of frame = 25 Π -16 Π= 9 Π = 28.3 cm2  \n2) A circular flower bed 5m in diameter is created in the middle of a rectangular lawn area measuring 12m by 8m.  \nWhat is the area of the lawn that is left?  \n12 m  \nThe area of lawn is 76.4 m2.  \nArea of lawn and flowerbed = 12 x 8 = 96 m2.  \nRadius of bed = 5 ÷ 2 = 2.5 m.  \nArea of flower bed = Π r2 = Π x 2.52 = 19.6 m2.  \nArea of lawn = area of lawn and bed – area of bed  \n= 96 – 19.6 = 76.4 m2.","cbCaisyTFZxlRdjs","https://ap.wps.com/l/cbCaisyTFZxlRdjs","pdf",164937,1,2,"English","en",105,"# Area of a Circle Word Problems 3B\n## Problem 1: Mirror and Frame Area\n## Problem 2: Circular Flower Bed and Lawn Area\n# Answer Key\n## Solution to Problem 1\n## Solution to Problem 2","[{\"question\":\"How do you calculate the area of the frame around a circular mirror?\",\"answer\":\"Calculate the area of the entire circle (mirror plus frame) using the total radius, then subtract the area of the inner circular mirror from that value.\"},{\"question\":\"What is the first step in finding the area of the lawn left after creating a circular flower bed?\",\"answer\":\"Calculate the total area of the rectangular lawn and then subtract the area of the circular flower bed, which is determined using the formula for the area of a circle.\"},{\"question\":\"How is the radius determined when only the diameter is provided in the problem?\",\"answer\":\"The radius is obtained by dividing the given diameter by two, as the radius is exactly half the length of the diameter.\"}]","Area of a Circle Word Problems 3B - 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