Circle equation

(the database of solved problems)

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

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ID	Problem	Count
1951	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( 3 , -7 \right) } $.	2
1952	Find the center and radius of the circle $ x^2+y^2 -2 x -10 y + 17 = 0 $.	2
1953	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , -3 \right)} $ and radius $ \color{blue}{ 3 }$	2
1954	Find the center and radius of the circle $ (x-5)^2+(y+3)^2=\frac{1}{2} $.	2
1955	Find the center and radius of the circle $ (x+5)^2+(y-3)^2=\frac{1}{2} $.	2
1956	Find the center and radius of the circle $ (x-5)^2+(y+3)^2=\frac{1}{4} $.	2
1957	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 5 \right)} $ passing throught the point $ \color{blue}{ P = \left( 5 , -5 \right) } $.	2
1958	Find the center and radius of the circle $ x^2+y^2 -2 x + 2 y -23 = 0 $.	2
1959	Find the center and radius of the circle $ x^2+y^2 -12 x + 8 y -48 = 0 $.	2
1960	Find the center and radius of the circle $ (x+3)^2+(y+10)^2=400 $.	2
1961	Find the center and radius of the circle $ (x-\frac{5}{2})^2+(y-4)^2=0 $.	2
1962	Find the center and radius of the circle $ x^2+y^2 -6 x + 6 y + 14 = 0 $.	2
1963	Find the center and radius of the circle $ x^2+y^2 -16 x + 0 y + 61 = 0 $.	2
1964	Find the center and radius of the circle $ x^2+y^2 + 14 x -10 y + 65 = 0 $.	2
1965	Find the center and radius of the circle $ x^2+y^2 -14 x + 2 y + 41 = 0 $.	2
1966	Find the center and radius of the circle $ x^2+y^2 -14 x -12 y + 76 = 0 $.	2
1967	Find the center and radius of the circle $ (x-16)^2+(y-23)^2=0 $.	2
1968	Find the center and radius of the circle $ (x-5)^2+(y-5)^2=5 $.	2
1969	Find the center and radius of the circle $ x^2+(y-16)^2=0 $.	2
1970	Find the center and radius of the circle $ x^2+y^2=36 $.	2
1971	Find the center and radius of the circle $ (x-5)^2+(y+2)^2=28 $.	2
1972	Find the center and radius of the circle $ (x+3)^2+(y-1)^2=25 $.	2
1973	Find the center and radius of the circle $ x^2+y^2 + 3 x + 23 y + 36 = 0 $.	2
1974	Find the center and radius of the circle $ (x-2)^2+(y+1)^2=25 $.	2
1975	Find the center and radius of the circle $ x^2+y^2 -6 x + 8 y -24 = 0 $.	2
1976	Find General equation of a circle with a center at $ \color{blue}{C = \left( -3 , 5 \right)} $ and radius $ \color{blue}{ 12 }$	2
1977	Find the center and radius of the circle $ x^2+y^2 -4 x -10 y -5444 = 0 $.	2
1978	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( 10 , -\sqrt{ 3 } \right) } $.	2
1979	Find the center and radius of the circle $ x^2+(y-3)^2=16 $.	2
1980	Find the center and radius of the circle $ x^2+y^2 -4 x -18 y + 36 = 0 $.	2
1981	Find the center and radius of the circle $ (x-8)^2+(y-12)^2=96 $.	2
1982	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 1 \right)} $ and radius $ \color{blue}{ 4 }$	2
1983	Find the center and radius of the circle $ (x+5)^2+(y-1)^2=36 $.	2
1984	Find the center and radius of the circle $ x^2+y^2 -10 x + 10 y + 25 = 0 $.	2
1985	Find the center and radius of the circle $ (x-10)^2+(y+\frac{7}{2})^2=6.801 $.	2
1986	Find the center and radius of the circle $ x^2+y^2 -6 x -4 y -12 = 0 $.	2
1987	Find the center and radius of the circle $ x^2+y^2 -20 x + 8 y + 115 = 0 $.	2
1988	Find the center and radius of the circle $ x^2+y^2 + 6 x + 2 y -6 = 0 $.	2
1989	Find the center and radius of the circle $ x^2+y^2 -12 x + 6 y + 36 = 0 $.	2
1990	Find the center and radius of the circle $ (x-6)^2+(y-2)^2=0 $.	2
1991	Find the center and radius of the circle $ x^2+(y-3)^2=5 $.	2
1992	Find the center and radius of the circle $ (x+2)^2+(y-5)^2=18 $.	2
1993	Find the center and radius of the circle $ x^2+y^2 -4 x -12 y -129 = 0 $.	2
1994	Find the center and radius of the circle $ x^2+y^2 + 14 x + 10 y + 73 = 0 $.	2
1995	Find the center and radius of the circle $ (x-7)^2+(y+4)^2=25 $.	2
1996	Find the center and radius of the circle $ (x+5)^2+(y-8)^2=81 $.	2
1997	Find the center and radius of the circle $ (x-1)^2+y^2=100 $.	2
1998	Find the center and radius of the circle $ (x+2)^2+(y+8)^2=3 $.	2
1999	Find the center and radius of the circle $ x^2+y^2 + 3 x -4 y + 6 = 0 $.	2
2000	Find Standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -7 \right)} $ and radius $ \color{blue}{ 34 }$	2