[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464351-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464351-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","solving-circle-equations-solve-each-problem","Solving Circle Equations - Solve each problem","","Practice worksheet focused on solving circle equations by substituting given values for x and radius to find y, or using given y and radius to find x, and determining radius when x and y are provided. Each item instructs rounding answers to two decimal places and includes corresponding answer key solutions using squared forms such as y2 = r2 - x2 and rearranged radius equations. Problems cover multiple numeric combinations to reinforce consistent equation setup.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/solving-circle-equations-solve-each-problem/464351/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/solving-circle-equations-solve-each-problem/464351.png","ImageObject",300,407,{"name":42,"@type":43},"Lucas Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How are answers expected to be rounded in these circle equation problems?","Question",{"text":62,"@type":63},"Each problem specifies rounding to two decimal places for the final answer.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What should you do when the problem gives x and the radius and asks for y?",{"text":67,"@type":63},"Substitute the given x and radius into the circle relationship and solve for y, using the squared form shown in the answer key.",{"name":69,"@type":60,"acceptedAnswer":70},"When a problem gives y and x and asks for the radius, how do you proceed?",{"text":71,"@type":63},"Use the circle equation to express radius in terms of x and y, then compute r and round to two decimals.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},464351,1790768071,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":22,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Solving Circle Equations  \nName:  \n\n| Solve each problem. Round to two decimal places.\u003Cbr>1) x value of 3 and radius of 7. Find the value of y. |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) x value of 3 and radius of 6. Find the value of y. |  |  |  |  |  |  |  | 2.   |  |  |  |  |  |\n| 3) y value of 3 and x value of 8.49. Find the radius. |  |  |  |  |  |  |  | 3.  \u003Cbr>4.   |  |  |  |  |  |\n| 4) x value of 3 and y value of 2. Find the radius. |  |  |  |  |  |  |  | 5.   |  |  |  |  |  |\n| 5) y value of 3 and x value of 6.32. Find the radius. |  |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |  |  |\n| 6) x value of 4 and radius of 6. Find the value of y. |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 7) x value of 4 and radius of 7. Find the value of y. |  |  |  |  |  |  |  | 9.  \u003Cbr>10.   |  |  |  |  |  |\n| 8) y value of 4 and x value of 8.06. Find the radius. |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 9) x value of 5 and radius of 8. Find the value of y. |  |  |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |\n| 10) x value of 4 and radius of 10. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) x value of 3 and radius of 9. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) y value of 2 and x value of 8.77. Find the radius. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) y value of 2 and x value of 9.80. Find the radius. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-13 | 92 | 85 | 77 | 69 | 62 | 54 | 46 | 38 | 31 | 23 |\n|  |  |  |  | 15 | 8 | 0 |  |  |  |  |  |  |  |\n\nSolving Circle Equations  \nName: Answer Key  \n\n| Solve each problem. Round to two decimal places.\u003Cbr>1) x value of 3 and radius of 7. Find the value of y.\u003Cbr>y2 = 72-32 |  |  |  |  |  |  |  | Answers\u003Cbr>1.  ±6.32  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | y = ±40\u003Cbr>x value of 3 and radius of 6. Find the value of y.\u003Cbr>y2 = 62-32\u003Cbr>y = ± 27\u003Cbr>|  |  |  |  |  |  | 2.  ±5.20 \u003Cbr>3. ±8.49 |  |  |  |  |  |  |\n| 3) | y value of 3 and x value of 8.49. Find the radius.\u003Cbr>x2 = 92-32 |  |  |  |  |  |  | 4.  ±3.61  |  |  |  |  |  |  |\n| 4) | x = ±72\u003Cbr>x value of 3 and y value of 2. Find the radius.\u003Cbr>r2 = 32 + 22\u003Cbr>r = ± 9\u003Cbr>|  |  |  |  |  |  | 5.  ±6.32 \u003Cbr>6. ±4.47 |  |  |  |  |  |  |\n| 5) | y value of 3 and x value of 6.32. Find the radius.\u003Cbr>x2 = 72-32 |  |  |  |  |  |  | 7.  ±5.74  |  |  |  |  |  |  |\n| 6) | x = ±40\u003Cbr>x value of 4 and radius of 6. Find the value of y.\u003Cbr>y2 = 62-42\u003Cbr>y = ± 20\u003Cbr>|  |  |  |  |  |  | 8.  ±8.06 \u003Cbr>9.  ±6.24  |  |  |  |  |  |  |\n| 7) | x value of 4 and radius of 7. Find the value of y.\u003Cbr>y2 = 72-42 |  |  |  |  |  |  | 10.  ±9.17  |  |  |  |  |  |  |\n| 8) | y = ± 33\u003Cbr>y value of 4 and x value of 8.06. Find the radius.\u003Cbr>x2 = 92-42\u003Cbr>x = ± 65\u003Cbr>\u003Cbr>|  |  |  |  |  |  | 11.  ±8.49 \u003Cbr>12. ±8.77 |  |  |  |  |  |  |\n| 9) | x value of 5 and radius of 8. Find the value of y.\u003Cbr>y2 = 82-52 |  |  |  |  |  |  | 13.  ±9.80  |  |  |  |  |  |  |\n| 10) | y = ± 39\u003Cbr>x value of 4 and radius of 10. Find the value of y.\u003Cbr>y2 = 102-42\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | y = ±84\u003Cbr>x value of 3 and radius of 9. Find the value of y.\u003Cbr>y2 = 92-32 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | y = ± 72\u003Cbr>y value of 2 and x value of 8.77. Find the radius.\u003Cbr>x2 = 92-22\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | x = ±77\u003Cbr>y value of 2 and x value of 9.80. Find the radius.\u003Cbr>x2 = 102-22\u003Cbr>x = ± 96\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-13 | 92 | 85 | 77 | 69 |  | 62 | 54 | 46 | 38 | 31 | 23 |\n|  |  |  |  | 15 | 8 | 0 |  |  |  |  |  |  |  |  |\n\nSolving Circle Equations  \nName:  \n\n| Solve each problem. Round to two decimal places. |  |  | 1. |  | ","cbCaice0dMewGVJt","https://ap.wps.com/l/cbCaice0dMewGVJt","pdf",53348,"English","# Solve each problem\n## Find y from x and radius\n## Find radius from x and y\n## Find radius from x and y","[{\"question\":\"How are answers expected to be rounded in these circle equation problems?\",\"answer\":\"Each problem specifies rounding to two decimal places for the final answer.\"},{\"question\":\"What should you do when the problem gives x and the radius and asks for y?\",\"answer\":\"Substitute the given x and radius into the circle relationship and solve for y, using the squared form shown in the answer key.\"},{\"question\":\"When a problem gives y and x and asks for the radius, how do you proceed?\",\"answer\":\"Use the circle equation to express radius in terms of x and y, then compute r and round to two decimals.\"}]","Solving Circle Equations - Solve each problem | PDF"]