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
1701		2
1702	Find the center and radius of the circle $ \left(x - \frac{ 9 }{ 2 } \right)^2 + \left( y - \frac{ 9 }{ 2 } \right)^2 = 1 $.	2
1703	Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ \sqrt{ 145 } }$	2
1704	Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 7 \right)^2 = 120 $.	2
1705	Find the center and radius of the circle $ \left( x + \frac{ 3 }{ 2 } \right)^2 + \left( y + \frac{ 5 }{ 8 } \right)^2 = 36 $.	2
1706	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 10 , -2 \right)} $ and radius $ \color{blue}{ 13 }$	2
1707	Find the center and radius of the circle $ x^2 + y^2 + 12 x + 30 = 0 $.	2
1708	Find the center and radius of the circle $ x^2 + y^2 -2 x -24 = 0 $.	2
1709	Find the center and radius of the circle $ x^2 + y^2 -4 x -6 y + \frac{ 61 }{ 4 } = 0 $.	2
1710	Find the center and radius of the circle $ x^2 + y^2 -8 x + 8 y + 68 = 0 $.	2
1711	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -7 , -12 \right)} $ passing throught the point $ \color{blue}{ P = \left( -10 , -8 \right) } $.	2
1712	Find the center and radius of the circle $ x^2 + y^2 -2 x = 0 $.	2
1713	Find the center and radius of the circle $ x^2 + y^2 -2 x + 2 y -5 = 0 $.	2
1714	Find the center and radius of the circle $ x^2 + \left( y - 2 \right)^2 = 16 $.	2
1715	Find the center and radius of the circle $ x^2 + y^2 -8 y + 12 = 0 $.	2
1716	Find the center and radius of the circle $ \left(x - 8 \right)^2 + \left( y + 2 \right)^2 = 324 $.	2
1717	Find the center and radius of the circle $ \left(x - 10 \right)^2 + \left( y + 9 \right)^2 = 256 $.	2
1718	Find the center and radius of the circle $ x^2 + y^2 + 2 y +1 = 0 $.	2
1719	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 3 \right)} $ and radius $ \color{blue}{ 0 }$	2
1720	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 3 \right)} $ passing throught the point $ \color{blue}{ P = \left( \frac{ 9 }{ 2 } , 9 \right) } $.	2
1721	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 3 \right)} $ passing throught the point $ \color{blue}{ P = \left( 0 , \frac{ 15 }{ 2 } \right) } $.	2
1722	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -9 \right)} $ and radius $ \color{blue}{ 4 }$	2
1723	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 2 \right)} $ and radius $ \color{blue}{ \sqrt{ 20 } }$	2
1724	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 25 , -5 \right)} $ and radius $ \color{blue}{ 5 }$	2
1725	Find the center and radius of the circle $ x^2 + y^2 -12 x + 8 y + 48 = 0 $.	2
1726	Find the center and radius of the circle $ x^2 + \left( y - 2 \right)^2 = 13 $.	2
1727	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y - 2 \right)^2 = 0 $.	2
1728	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y + 2 \right)^2 = 13 $.	2
1729	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y - 2 \right)^2 = 13 $.	2
1730	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y - 2 \right)^2 = 13 $.	2
1731		2
1732	Find the center and radius of the circle $ \left(x - 5 \right)^2 + y^2 = 13 $.	2
1733		2
1734	Find the center and radius of the circle $ \left( x + 5 \right)^2 + \left( y - 2 \right)^2 = 13 $.	2
1735	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y - 2 \right)^2 = 13 $.	2
1736	Find the center and radius of the circle $ x^2 + y^2 -12 y + 68 = 0 $.	2
1737	Find the center and radius of the circle $ x^2 + y^2 -18 x + 68 = 0 $.	2
1738	Find the center and radius of the circle $ x^2 + y^2 -18 x -12 y = 0 $.	2
1739	Find the center and radius of the circle $ x^2 + y^2 -18 x -12 y + 68 = 0 $.	2
1740	Find the center and radius of the circle $ x^2 + y^2 -18 x -12 y + 68 = 0 $.	2
1741		2
1742	Find the center and radius of the circle $ x^2 + y^2 -18 x -12 y + 68 = 0 $.	2
1743		2
1744	Find the center and radius of the circle $ x^2 + y^2 + 18 x -12 y + 68 = 0 $.	2
1745	Find the center and radius of the circle $ x^2 + y^2 -18 x + 12 y + 68 = 0 $.	2
1746	Find the center and radius of the circle $ x^2 + y^2 + 12 x + 4 y + 36 = 0 $.	2
1747		2
1748	Find the center and radius of the circle $ x^2 + y^2 + 12 x + 4 y + 36 = 0 $.	2
1749	Find the center and radius of the circle $ x^2 + y^2 + 4 y + 36 = 0 $.	2
1750	Find the center and radius of the circle $ x^2 + y^2 + 12 x + 36 = 0 $.	2