[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467644-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-467644-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-and-round-to-two-decimal-places","Solving Circle Equations - Solve each problem and round to two decimal places","","Practice sheet for solving circle equations, directing students to compute circle radius from given x and y coordinates and to solve for y when x and radius are provided. Tasks require applying the relationship between radius and coordinate values, then rounding each result to two decimal places. An accompanying answer key supplies the computed values, including positive and negative roots where appropriate, supporting checking and review across problems 1 through 13.",{"@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-and-round-to-two-decimal-places/467644/",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-and-round-to-two-decimal-places/467644.png","ImageObject",300,407,{"name":42,"@type":43},"Theodore","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How are the radius values found in the problems?","Question",{"text":62,"@type":63},"Each problem provides x and y coordinates, and the task is to determine the circle’s radius using the circle equation. Answers are rounded to two decimal places.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What do you do when the problem asks for the value of y?",{"text":67,"@type":63},"When x and the radius are given, solve the corresponding equation to find y. The final y value is rounded to two decimal places.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can the correct answers be checked?",{"text":71,"@type":63},"The document includes an “Answer Key” section that lists the expected values for each problem, including both positive and negative solutions where applicable.","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},467644,1792876174,{"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":26,"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":143,"read_time":110},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Solving Circle Equations  \nName:  \n\n| Solve each problem. Round to two decimal places.\u003Cbr>1) x value of 2 and y value of 5. Find the radius. |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) x value of 3 and y value of 5. Find the radius. |  |  |  |  |  |  |  | 2.   |  |  |  |  |  |\n| 3) y value of 5 and x value of 7.48. Find the radius. |  |  |  |  |  |  |  | 3.  \u003Cbr>4.   |  |  |  |  |  |\n| 4) x value of 4 and y value of 3. Find the radius. |  |  |  |  |  |  |  | 5.   |  |  |  |  |  |\n| 5) x value of 4 and y value of 3. Find the radius. |  |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |  |  |\n| 6) x value of 2 and y value of 3. Find the radius. |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 7) x value of 5 and y value of 5. Find the radius. |  |  |  |  |  |  |  | 9.  \u003Cbr>10.   |  |  |  |  |  |\n| 8) x value of 5 and y value of 5. Find the radius. |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 9) y value of 4 and x value of 5.74. Find the radius. |  |  |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |\n| 10) x value of 2 and radius of 8. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) x value of 2 and radius of 8. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) x value of 3 and radius of 7. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) x value of 4 and radius of 9. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 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 2 and y value of 5. Find the radius.\u003Cbr>r2 = 22 + 52 |  |  |  | Answers\u003Cbr>1.  ±5.39  |  |\n| --- | --- | --- | --- | --- | --- |\n| 2) | r = ±7\u003Cbr>x value of 3\u003Cbr>r2 = 32 + 52 r = ± 10\u003Cbr>| and | y value of 5. Find the radius. | 2.\u003Cbr>3. | ±5.83 |\n|  |  |  |  |  | ±7.48 |\n| 3) | y value of 5\u003Cbr>x2 = 92-52 | and | x value of 7.48. Find the radius. | 4. | ±5.00 |\n|  |  |  |  |  |  |\n| 4) | x = ±56\u003Cbr>x value of 4\u003Cbr>r2 = 42 + 32\u003Cbr>r = ± 6\u003Cbr>| and | y value of 3. Find the radius. | 5.\u003Cbr>6. | ±5.00 |\n|  |  |  |  |  | ±3.61 |\n|  |  |  |  |  |  |\n| 5) | x value of 4\u003Cbr>r2 = 42 + 32 | and | y value of 3. Find the radius. | 7. | ±7.07 |\n|  |  |  |  |  |  |\n| 6) | r = ±9\u003Cbr>x value of 2\u003Cbr>r2 = 22 + 32 r = ± 9\u003Cbr>| and | y value of 3. Find the radius. | 8.\u003Cbr>9. | ±7.07 |\n|  |  |  |  |  | ±5.74 |\n|  |  |  |  |  |  |\n| 7) | x value of 5\u003Cbr>r2 = 52 + 52 | and | y value of 5. Find the radius. | 10. | ±7.75 |\n|  |  |  |  |  |  |\n| 8) | r = ±9\u003Cbr>x value of 5\u003Cbr>r2 = 52 + 52 r = ± 8\u003Cbr>| and | y value of 5. Find the radius. | 11.\u003Cbr>12. | ±7.75 |\n|  |  |  |  |  | ±6.32 |\n|  |  |  |  |  |  |\n| 9) | y value of 4\u003Cbr>x2 = 72-42 | and | x value of 5.74. Find the radius. | 13. | ±8.06 |\n|  |  |  |  |  |  |\n| 10) | x = ±33\u003Cbr>x value of 2\u003Cbr>y2 = 82-22 | and | radius of 8. Find the value of y. |  |  |\n| 11) | y = ± 60\u003Cbr>x value of 2\u003Cbr>y2 = 82-22\u003Cbr>| and | radius of 8. Find the value of y. |  |  |\n| 12) | y = ±60\u003Cbr>x value of 3\u003Cbr>y2 = 72-32 | and | radius of 7. Find the value of y. |  |  |\n| 13) | y = ± 40\u003Cbr>x value of 4\u003Cbr>y2 = 92-42 y = ± 65\u003Cbr>\u003Cbr>| and | radius of 9. Find the value of y. |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \n1-10 11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23  \nSolving Circle Equations  \nName:  \n\n| Solve each problem. Round to two decimal places. |  |  | 1. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) x value of 2 and y value of 5. Find the radius. |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 2) x value of 3 and y value of 5. Find the radius. |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |","cbCaiokXqEJ4LgXx","https://ap.wps.com/l/cbCaiokXqEJ4LgXx","pdf",52308,"English","# Solve Each Problem\n## Radius from x and y values\n## Solve for y given x and radius","[{\"question\":\"How are the radius values found in the problems?\",\"answer\":\"Each problem provides x and y coordinates, and the task is to determine the circle’s radius using the circle equation. Answers are rounded to two decimal places.\"},{\"question\":\"What do you do when the problem asks for the value of y?\",\"answer\":\"When x and the radius are given, solve the corresponding equation to find y. The final y value is rounded to two decimal places.\"},{\"question\":\"Where can the correct answers be checked?\",\"answer\":\"The document includes an “Answer Key” section that lists the expected values for each problem, including both positive and negative solutions where applicable.\"}]","Solving Circle Equations - Solve each problem and round to two decimal places | PDF",1790773146]