Circle equation

(the database of solved problems)

All the problems and solutions shown below were generated using the Circle equation Calculator.

Select category

ID	Problem	Count
2101	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 1 \right)^2 = 196 $.	2
2102	Find the center and radius of the circle $ \left(x - 9 \right)^2 + \left( y - 11 \right)^2 = 144 $.	2
2103	Find the center and radius of the circle $ \left( x + 10 \right)^2 + \left( y + 13 \right)^2 = 121 $.	2
2104	Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y - 5 \right)^2 = 52 $.	2
2105	Find the center and radius of the circle $ x^2 + \left( y - 3 \right)^2 = 9 $.	2
2106	Find the center and radius of the circle $ x^2 + \left( y - 4 \right)^2 = 12 $.	2
2107		2
2108	Find the center and radius of the circle $ x^2 + y^2 -6 x + 6 y -31 = 0 $.	2
2109	Find the center and radius of the circle $ x^2 + \left( y - 1 \right)^2 = 4 $.	2
2110	Find the center and radius of the circle $ x^2 + y^2 -8 x + 4 y -3 = 0 $.	2
2111	Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - 5 \right)^2 = 16 $.	2
2112	Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = 9 $.	2
2113	Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y - 7 \right)^2 = 25 $.	2
2114	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 6 \right)^2 = 4 $.	2
2115	Find the center and radius of the circle $ \left( x + 12 \right)^2 + \left( y + 10 \right)^2 = 36 $.	2
2116	Find the center and radius of the circle $ x^2 + y^2 -6 x -4 y = 0 $.	2
2117	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -8 , -4 \right)} $ and radius $ \color{blue}{ 0 }$	2
2118	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -10 , -6 \right)} $ and radius $ \color{blue}{ 0 }$	2
2119	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , -16 \right)} $ and radius $ \color{blue}{ 0 }$	2
2120	Find the center and radius of the circle $ x^2 + y^2 -24 x -18 y + 81 = 0 $.	2
2121	Find the center and radius of the circle $ x^2 + y^2 -32 x + 6 y + 230 = 0 $.	2
2122	Find the center and radius of the circle $ x^2 + y^2 -32 x + 6 y + 495 = 0 $.	2
2123	Find the center and radius of the circle $ x^2 + y^2 -4 x -8 y -41 = 0 $.	2
2124	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -4 \right)} $ passing throught the point $ \color{blue}{ P = \left( -5 , -4 \right) } $.	2
2125	Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y - 3 \right)^2 = \frac{ 1 }{ 4 } $.	2
2126	Find the center and radius of the circle $ x^2 + y^2 + 2 x -4 y -4 = 0 $.	2
2127	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -1 \right)} $ and radius $ \color{blue}{ 1 }$	2
2128	Find the center and radius of the circle $ x^2 + y^2 + 49 = 0 $.	2
2129	Find the center and radius of the circle $ x^2 + y^2 -12 x -16 y + 84 = 0 $.	2
2130	Find the center and radius of the circle $ x^2 + y^2 + 8 x + 16 y + 71 = 0 $.	2
2131	Find the center and radius of the circle $ \left( x + 9 \right)^2 + y^2 = 145 $.	2
2132	Find the center and radius of the circle $ \left( x + 25 \right)^2 + \left( y - 50 \right)^2 = 104 $.	2
2133	Find the center and radius of the circle $ \left(x - 15 \right)^2 + \left( y + 46 \right)^2 = 104 $.	2
2134	Find the center and radius of the circle $ x^2 + y^2 + 14 x + 12 y + 13 = 0 $.	2
2135	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 25 , -50 \right)} $ and radius $ \color{blue}{ 104 }$	2
2136	Find the center and radius of the circle $ x^2 + y^2 -3 x -47 = 0 $.	2
2137	Find the center and radius of the circle $ x^2 + y^2 + 4 x + 12 y + 12 = 0 $.	2
2138	Find general equation of a circle with a center at $ \color{blue}{C = \left( 13 , -13 \right)} $ and radius $ \color{blue}{ 4 }$	2
2139	Find the center and radius of the circle $ x^2 + y^2 -13 x + 42 = 0 $.	2
2140	Find the center and radius of the circle $ \left( x + \frac{ 5 }{ 2 } \right)^2 + \left( y + \frac{ 9 }{ 2 } \right)^2 = 100 $.	2
2141	Find the center and radius of the circle $ x^2 + y^2 -3 y + 2 = 0 $.	2
2142	Find the center and radius of the circle $ x^2 + y^2 -13 x + 17 = 0 $.	2
2143	Find the center and radius of the circle $ x^2 + y^2 + 7 x + 10 = 0 $.	2
2144	Find the center and radius of the circle $ x^2 + y^2 -14 x -15 = 0 $.	2
2145	Find the center and radius of the circle $ x^2 + y^2 -13 x + 6 = 0 $.	2
2146	Find the center and radius of the circle $ x^2 + y^2 + 10 x + 8 y + 10 = 0 $.	2
2147	Find the center and radius of the circle $ x^2 + y^2 -16 x + 12 y -21 = 0 $.	2
2148	Find the center and radius of the circle $ x^2 + y^2 -20 x + 22 y -100 = 0 $.	2
2149	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -13 , -16 \right)} $ passing throught the point $ \color{blue}{ P = \left( -10 , -16 \right) } $.	2
2150	Find the center and radius of the circle $ x^2 + y^2 -6 x + 8 y + 16 = 0 $.	2