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do you find the center and radius from x^2 + y^2 = r^2?","Question",{"text":63,"@type":64},"For x^2 + y^2 = r^2, the center is at (0,0) and the radius is r, using the constant on the right side.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you identify the center and radius from (x + h)^2 + (y − k)^2 = r^2?",{"text":68,"@type":64},"The center is (−h, k) and the radius is r based on the square-root of the right-hand value.",{"name":70,"@type":61,"acceptedAnswer":71},"What should you do after finding the center and radius for each equation?",{"text":72,"@type":64},"Sketch the circle on the provided coordinate grid using the identified center and 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Circles Date________________ Period____  \nIdentify the center and radius of each.  \n1) x 2 + y 2 = 49 2) x 2 + y 2 = 324  \n3) (x + 2)2 + ( y − 3)2 = 183 4) (x + 7)2 + ( y + 8)2 = 64  \n5) (x + 10)2 + ( y + 9)2 = 36 6) (x + 5)2 + ( y − 10)2 = 9  \n7) x 2 + ( y + 2)2 = 121 8) (x − 14)2 + ( y − 2)2 = 4  \n9) 364 + 28 y + y 2 + x 2 = −26x 10) x 2 + y 2 + 24x + 10 y + 160 = 0  \n11) −6x = −x 2 + 32 y − 264 − y 2 12) −6x + x 2 = 97 + 10 y − y 2  \nIdentify the center and radius of each. Then sketch the graph.  \n13) (x + 1)2 + ( y − 2)2 = 9  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  |  | 2 |  | 4 |  | 6 |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n14) (x + 2)2 + ( y + 3)2 = 4  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  |  | 2 |  | 4 |  | 6 |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n15) (x + 1)2 + ( y + 2)2 = 25  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  |  | 2 |  | 4 |  | 6 |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n17) (x + 3)2 + ( y + 2)2 = 9  \n\n| | |","cbCaiopYgxKcN8Sk","https://ap.wps.com/l/cbCaiopYgxKcN8Sk","pdf",39398,"English","# Identify Center and Radius\n## Direct Circle Equations\n## Shifted Circle Equations\n# Sketch the Graph","[{\"question\":\"How do you find the center and radius from x^2 + y^2 = r^2?\",\"answer\":\"For x^2 + y^2 = r^2, the center is at (0,0) and the radius is r, using the constant on the right side.\"},{\"question\":\"How do you identify the center and radius from (x + h)^2 + (y − k)^2 = r^2?\",\"answer\":\"The center is (−h, k) and the radius is r based on the square-root of the right-hand value.\"},{\"question\":\"What should you do after finding the center and radius for each equation?\",\"answer\":\"Sketch the circle on the provided coordinate grid using the identified center and radius.\"}]","Graphing and Properties of Circles - Practice Problems | PDF",1791426056]