[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523554-105":59,"doc-detail-523554-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","circles-identify-the-center-and-radius-of-each-circle","Circles - Identify the center and radius of each circle","","Circles worksheet for Infinite Precalculus focused on determining each circle’s center and radius from given information, then sketching the corresponding graphs. Problems include writing standard form equations and identifying centers, radii, tangent conditions, and diameter endpoints using coordinate data. Additional tasks require converting information into general conic form equations of circles, including cases defined by multiple points on the circle.",{"@graph":69,"@context":123},[70,84,106],{"@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/circles-identify-the-center-and-radius-of-each-circle/523554/",{"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/circles-identify-the-center-and-radius-of-each-circle/523554.png","ImageObject",300,407,{"name":92,"@type":93},"CatatanPagi","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find the center and radius of a circle on this worksheet?","Question",{"text":113,"@type":114},"Use the provided coordinate information (such as a center given directly, endpoints of a diameter, or a point with tangent conditions) to determine the center and compute the radius from the distance relationships.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What does “write the standard form equation of each circle” require?",{"text":118,"@type":114},"It requires forming the circle’s standard form equation using the identified center and radius for each problem.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the general conic form equation of a circle obtained?",{"text":122,"@type":114},"It uses the same circle parameters (center and radius) and rewrites the circle equation into the general conic form requested by each item.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523554,1791505245,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962090894170,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Precalculus Name   \nCircles  \nIdentify the center and radius of each. Then sketch the graph.  \nDate   \nPeriod   \n1) (x 􀀎 􀀕)􀀕 􀀎 (y 􀀐 􀀔)􀀕 􀀠 􀀜  \n3) (x 􀀐 􀀕)􀀕 􀀎 (y 􀀎 􀀖)􀀕 􀀠 􀀔  \n5) x 􀀕 􀀎 y 􀀕 􀀎 􀀗x 􀀎 􀀕 y 􀀐 􀀗 􀀠 􀀓  \n2) (x 􀀎 􀀖)􀀕 􀀎 (y 􀀎 􀀗)􀀕 􀀠 􀀘  \n4) x 􀀕 􀀎 y 􀀕 􀀐 􀀙y 􀀠 􀀓  \n6) x 􀀕 􀀎 y 􀀕 􀀐 􀀗x 􀀐 􀀔􀀗 􀀠 􀀓  \nUse the information provided to write the standard form equation of each circle.  \n7) Center: (􀀐􀀔􀀖 , 􀀐􀀔􀀗) 8) Center: (􀀔􀀘 , 􀀐􀀛) Radius: 􀀔 Area: 􀀔􀀙􀁓  \n9) Center: (􀀐􀀕 , 􀀜) 10) Center: (􀀔􀀖 􀀚 ) Point on Circle: (􀀐􀀘 , 􀀔􀀛) Tangent to y, 􀀠 􀀔􀀔  \n11) Center lies in the second quadrant 12) Ends of a diameter: (􀀔􀀔 , 􀀐􀀙) and (􀀔 , 􀀔􀀗) Tangent to x 􀀠 􀀐􀀔􀀗 , y 􀀠 􀀐􀀗 , and x 􀀠 􀀛  \nUse the information provided to write the general conic form equation of each circle.  \n13)  \n\n| 􀀖 |  |  |  |  | y |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  | 􀀕 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀔 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 􀀐 | 􀀗 􀀐 | 􀀖 􀀐 | 􀀕 􀀐 | 􀀔􀀔 | 􀀔 | 􀀕 | 􀀖 | 􀀗 | 􀀘 |  | 􀀙 x |\n|  |  |  |  | 􀀐\u003Cbr>􀀕 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐\u003Cbr>􀀖 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐\u003Cbr>􀀗 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐􀀘􀀙 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐 |  |  |  |  |  |  |  |\n| 􀀐􀀚 |  |  |  |  | |  |  |  |  |  |  |\n\n14) Three points on the circle:(􀀚 , 􀀐􀀗), (􀀐􀀖 , 􀀐􀀗), and (􀀙 , 􀀐􀀚)  \nKuta Software-Infinite Precalculus Name   \nCircles  \nIdentify the center and radius of each. Then sketch the graph.  \nDate   \nPeriod   \n1) (x 􀀎 􀀕)􀀕 􀀎 (y 􀀐 􀀔)􀀕 􀀠 􀀜  \nCenter: (􀀐􀀕 , 􀀔)  \nRadius: 􀀖  \n3) (x 􀀐 􀀕)􀀕 􀀎 (y 􀀎 􀀖)􀀕 􀀠 􀀔  \nCenter: (􀀕 , 􀀐􀀖)  \nRadius: 􀀔  \n5) x 􀀕 􀀎 y 􀀕 􀀎 􀀗x 􀀎 􀀕 y 􀀐 􀀗 􀀠 􀀓  \nCenter: (􀀐􀀕 , 􀀐􀀔)  \nRadius: 􀀖  \n2) (x 􀀎 􀀖)􀀕 􀀎 (y 􀀎 􀀗)􀀕 􀀠 􀀘  \n4) x 􀀕 􀀎 y 􀀕 􀀐 􀀙y 􀀠 􀀓  \nCenter: (􀀓 , 􀀖)  \nRadius: 􀀖  \n6) x 􀀕 􀀎 y 􀀕 􀀐 􀀗x 􀀐 􀀔􀀗 􀀠 􀀓  \nUse the information provided to write the standard form equation of each circle.  \n7) Center: (􀀐􀀔􀀖 , 􀀐􀀔􀀗) 8) Center: (􀀔􀀘 , 􀀐􀀛)  \nRadius: 􀀔 Area: 􀀔􀀙􀁓  \n(x 􀀎 􀀔􀀖)􀀕 􀀎 (y 􀀎 􀀔􀀗)􀀕 􀀠 􀀔 (x 􀀐 􀀔􀀘)􀀕 􀀎 (y 􀀎 􀀛)􀀕 􀀠 􀀔􀀙  \n9) Center: (􀀐􀀕 , 􀀜) 10) Center: (􀀔􀀖 , 􀀚 ) Point on Circle: (􀀐􀀘 , 􀀔􀀛) Tangent to y 􀀠 􀀔􀀔  \n(x 􀀎 􀀕)􀀕 􀀎 (y 􀀐 􀀜)􀀕 􀀠 􀀜􀀓 (x 􀀐 􀀔􀀖)􀀕 􀀎 (y 􀀐 􀀚 ) 􀀕 􀀠 􀀔􀀙  \n11) Center lies in the second quadrant Tangent to x 􀀠 􀀐􀀔􀀗 , y 􀀠 􀀐􀀗 , and x 􀀠 􀀛  \n(x 􀀎 􀀖)􀀕 􀀎 (y 􀀐 􀀚 ) 􀀕 􀀠 􀀔􀀕􀀔  \n12) Ends of a diameter: (􀀔􀀔 , 􀀐􀀙) and (􀀔 , 􀀔􀀗)  \n(x 􀀐 􀀙)􀀕 􀀎 (y 􀀐 􀀗)􀀕 􀀠 􀀔􀀕􀀘  \nUse the information provided to write the general conic form equation of each circle.  \n13)  \n\n| 􀀖 |  |  |  |  | y |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  | 􀀕 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀔 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 􀀐 | 􀀗 􀀐 | 􀀖 􀀐 | 􀀕 􀀐 | 􀀔􀀔 | 􀀔 | 􀀕 | 􀀖 | 􀀗 | 􀀘 |  | 􀀙 x |\n|  |  |  |  | 􀀐\u003Cbr>􀀕 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐\u003Cbr>􀀖 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐\u003Cbr>􀀗 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐􀀘􀀙 |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀐 |  |  |  |  |  |  |  |\n| 􀀐􀀚 |  |  |  |  | |  |  |  |  |  |  |\n\n14) Three points on the circle:(􀀚 , 􀀐􀀗), (􀀐􀀖 , 􀀐􀀗), and (􀀙 , 􀀐􀀚)  \nx 􀀕 􀀎 y􀀕 􀀐 􀀗x 􀀎 􀀛 y 􀀐 􀀘 􀀠 􀀓  \nx 􀀕 􀀎 y􀀕 􀀐 􀀕x 􀀎 􀀗y 􀀐 􀀔􀀔 􀀠 􀀓  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaidrCinz2mCpM","https://ap.wps.com/l/cbCaidrCinz2mCpM","pdf",39596,"English","# Identify the center and radius\n## Sketch the graph\n# Write standard form equations\n## Centers, radii, and tangent conditions\n# Write general conic form equations","[{\"question\":\"How do you find the center and radius of a circle on this worksheet?\",\"answer\":\"Use the provided coordinate information (such as a center given directly, endpoints of a diameter, or a point with tangent conditions) to determine the center and compute the radius from the distance relationships.\"},{\"question\":\"What does “write the standard form equation of each circle” require?\",\"answer\":\"It requires forming the circle’s standard form equation using the identified center and radius for each problem.\"},{\"question\":\"How is the general conic form equation of a circle obtained?\",\"answer\":\"It uses the same circle parameters (center and radius) and rewrites the circle equation into the general conic form requested by each item.\"}]","Circles - Identify the center and radius of each circle | PDF",1791427004]