[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467638-105":59,"doc-detail-467638-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","solving-circle-equations-solve-each-problem-answer-key-included","Solving Circle Equations - Solve Each Problem - Answer Key Included","","Worksheets focused on solving circle equations by using given x or y values and radii to determine the missing radius or y-value. Problems require substituting into circle relationships, then rounding final numerical results to two decimal places. An accompanying answer key provides both positive and negative solution values (±) for each item, showing the expected algebraic results for the radius or y coordinate based on the provided measurements.",{"@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/solving-circle-equations-solve-each-problem-answer-key-included/467638/",{"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/solving-circle-equations-solve-each-problem-answer-key-included/467638.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do you need to find in each circle-equation problem?","Question",{"text":112,"@type":113},"Each item asks for either the radius or the missing y-value, based on given x and y values or given x and a radius. The worksheet states to solve each problem and round to two decimal places.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How precise should the final answers be?",{"text":117,"@type":113},"The instructions specify rounding answers to two decimal places for the computed radius or y-value.",{"name":119,"@type":110,"acceptedAnswer":120},"Why do some answers show a ± symbol?",{"text":121,"@type":113},"The answer key lists solutions with ± because the circle equation can yield two possible values (positive or negative) for the unknown variable under the given conditions.","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},467638,1792855075,{"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":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Solving Circle Equations  \nName:  \n\n| Solve each problem. Round to two decimal places.\u003Cbr>1) y value of 3 and x value of 6.32. Find the radius. |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) y value of 3 and x value of 9.54. Find the radius. |  |  |  |  |  |  |  | 2.   |  |  |  |  |  |\n| 3) x value of 4 and radius of 10. Find the value of y. |  |  |  |  |  |  |  | 3.  \u003Cbr>4.   |  |  |  |  |  |\n| 4) y value of 4 and x value of 9.17. Find the radius. |  |  |  |  |  |  |  | 5.   |  |  |  |  |  |\n| 5) y value of 5 and x value of 3.32. Find the radius. |  |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |  |  |\n| 6) y value of 2 and x value of 7.75. Find the radius. |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 7) y value of 4 and x value of 8.06. Find the radius. |  |  |  |  |  |  |  | 9.  \u003Cbr>10.   |  |  |  |  |  |\n| 8) x value of 3 and radius of 6. Find the value of y. |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 9) x value of 5 and y value of 3. Find the radius. |  |  |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |\n| 10) x value of 2 and radius of 10. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) y value of 4 and x value of 6.93. Find the radius. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) x value of 4 and radius of 7. Find the value of y. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) y value of 3 and x value of 8.49. Find the radius. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 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) y value of 3 and x value of 6.32. Find the radius.\u003Cbr>x2 = 72-32 |  |  |  | Answers\u003Cbr>1.  ±6.32  |  |\n| --- | --- | --- | --- | --- | --- |\n| 2) | x = ±40\u003Cbr>y value of 3\u003Cbr>x2 = 102-32 x = ± 91\u003Cbr>| and | x value of 9.54. Find the radius. | 2.\u003Cbr>3. | ±9.54 |\n|  |  |  |  |  | ±9.17 |\n| 3) | x value of 4\u003Cbr>y2 = 102-42 | and | radius of 10. Find the value of y. | 4. | ±9.17 |\n|  |  |  |  |  |  |\n| 4) | y = ±84\u003Cbr>y value of 4\u003Cbr>x2 = 102-42 x = ± 84\u003Cbr>| and | x value of 9.17. Find the radius. | 5.\u003Cbr>6. | ±3.32 |\n|  |  |  |  |  | ±7.75 |\n|  |  |  |  |  |  |\n| 5) | y value of 5\u003Cbr>x2 = 62-52 | and | x value of 3.32. Find the radius. | 7. | ±8.06 |\n|  |  |  |  |  |  |\n| 6) | x = ±11\u003Cbr>y value of 2\u003Cbr>x2 = 82-22 x = ± 60\u003Cbr>| and | x value of 7.75. Find the radius. | 8.\u003Cbr>9. | ±5.20 |\n|  |  |  |  |  | ±5.83 |\n|  |  |  |  |  |  |\n| 7) | y value of 4\u003Cbr>x2 = 92-42 | and | x value of 8.06. Find the radius. | 10. | ±9.80 |\n|  |  |  |  |  |  |\n| 8) | x = ±65\u003Cbr>x value of 3\u003Cbr>y2 = 62-32\u003Cbr>y = ± 27\u003Cbr>| and | radius of 6. Find the value of y. | 11.\u003Cbr>12. | ±6.93 |\n|  |  |  |  |  | ±5.74 |\n|  |  |  |  |  |  |\n| 9) | x value of 5\u003Cbr>r2 = 52 + 32 | and | y value of 3. Find the radius. | 13. | ±8.49 |\n|  |  |  |  |  |  |\n| 10) | r = ±10\u003Cbr>x value of 2\u003Cbr>y2 = 102-22 | and | radius of 10. Find the value of y. |  |  |\n| 11) | y = ± 96\u003Cbr>y value of 4\u003Cbr>x2 = 82-42\u003Cbr>| and | x value of 6.93. Find the radius. |  |  |\n| 12) | x = ±48\u003Cbr>x value of 4\u003Cbr>y2 = 72-42 | and | radius of 7. Find the value of y. |  |  |\n| 13) | y = ± 33\u003Cbr>y value of 3\u003Cbr>x2 = 92-32\u003Cbr>x = ± 72\u003Cbr>\u003Cbr>| and | x value of 8.49. Find the radius. |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \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) y value of 3 and x value of 6.32. Find the radius. |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 2) y value of 3 and x value of 9.54. Find the radius. |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  |  |  |  |  |  |\n|  |  |  |  |  ","cbCaishJRyCpzAXt","https://ap.wps.com/l/cbCaishJRyCpzAXt","pdf",54249,"English","# Solve Each Problem\n## Radius from given x and y\n## y from given x and radius","[{\"question\":\"What do you need to find in each circle-equation problem?\",\"answer\":\"Each item asks for either the radius or the missing y-value, based on given x and y values or given x and a radius. The worksheet states to solve each problem and round to two decimal places.\"},{\"question\":\"How precise should the final answers be?\",\"answer\":\"The instructions specify rounding answers to two decimal places for the computed radius or y-value.\"},{\"question\":\"Why do some answers show a ± symbol?\",\"answer\":\"The answer key lists solutions with ± because the circle equation can yield two possible values (positive or negative) for the unknown variable under the given conditions.\"}]","Solving Circle Equations - Solve Each Problem - Answer Key Included | PDF",1790773135]