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
1651	Find the center and radius of the circle $ x^2 + y^2 = 81 $.	2
1652	Find the center and radius of the circle $ x^2 + y^2 + 8 x + 10 y + 40 = 0 $.	2
1653	Find the center and radius of the circle $ x^2 + y^2 + 2 x -y -3 = 0 $.	2
1654	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 2 \right)} $ passing throught the point $ \color{blue}{ P = \left( -3 , -5 \right) } $.	2
1655	Find the center and radius of the circle $ x^2 + y^2 -5 x + 5 y -4 = 0 $.	2
1656	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -\frac{ 1 }{ 2 } , 3 \right)} $ and radius $ \color{blue}{ \frac{ 1 }{ 2 } }$	2
1657	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 12 y = 0 $.	2
1658	Find the center and radius of the circle $ x^2 + y^2 + 7 x + 4 y -12 = 0 $.	2
1659	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -\frac{ 3 }{ 2 } , 3 \right)} $ and radius $ \color{blue}{ \frac{ 3 }{ 2 } }$	2
1660	Find the center and radius of the circle $ x^2 + y^2 -7 x + 4 y + 12 = 0 $.	2
1661	Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 1 }{ 4 } , 0 \right)} $ and radius $ \color{blue}{ \frac{ 1 }{ 4 } }$	2
1662	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -1 \right)} $ and radius $ \color{blue}{ 3 }$	2
1663	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -4 \right)} $ and radius $ \color{blue}{ 9 }$	2
1664	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 4 \right)} $ and radius $ \color{blue}{ \sqrt{ 21 } }$	2
1665	Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y + 7 \right)^2 = 0 $.	2
1666	Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y + 7 \right)^2 = 16 $.	2
1667	Find the center and radius of the circle $ \left( x + 8 \right)^2 + \left( y + 5 \right)^2 = 0 $.	2
1668	Find the center and radius of the circle $ x^2 + y^2 + 6 x + 10 y + 31 = 0 $.	2
1669	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ \frac{ 1941 }{ 100 } }$	2
1670	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , 5 \right)} $ and radius $ \color{blue}{ 10 }$	2
1671	Find the center and radius of the circle $ \left(x - \frac{ 1 }{ 12 } \right)^2 + \left( y + \frac{ 1 }{ 12 } \right)^2 = \frac{ 1 }{ 72 } $.	2
1672	Find the center and radius of the circle $ x^2 + y^2 + 10 y + 9 = 0 $.	2
1673	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 5 \right)^2 = 36 $.	2
1674	Find the center and radius of the circle $ x^2 + y^2 -8 x + 8 y -4 = 0 $.	2
1675	Find the center and radius of the circle $ x^2 + y^2 = 0 $.	2
1676	Find the center and radius of the circle $ \left( x + 6 \right)^2 + \left( y + 9 \right)^2 = 36 $.	2
1677	Find the center and radius of the circle $ x^2 + y^2 + 8 x -2 y -32 = 0 $.	2
1678	Find the center and radius of the circle $ x^2 + y^2 = 1 $.	2
1679	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 8 , 8 \right)} $ and radius $ \color{blue}{ 16 }$	2
1680	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , 1 \right)} $ and radius $ \color{blue}{ \sqrt{ 45 } }$	2
1681	Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y - 9 \right)^2 = 0 $.	2
1682	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -8 , 6 \right)} $ and radius $ \color{blue}{ 10 }$	2
1683	Find the center and radius of the circle $ \left( x + 20 \right)^2 + \left( y + 16 \right)^2 = 0 $.	2
1684	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 7 , -10 \right)} $ and radius $ \color{blue}{ \frac{ 8 }{ 3 } }$	2
1685	Find the center and radius of the circle $ x^2 + y^2 -\frac{ 1 }{ 4 } x + \frac{ 1 }{ 4 } y -\frac{ 1 }{ 32 } = 0 $.	2
1686	Find the center and radius of the circle $ x^2 + y^2 -6 y + 40 = 0 $.	2
1687	Find the center and radius of the circle $ x^2 + y^2 -6 y -40 = 0 $.	2
1688	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -1 \right)} $ passing throught the point $ \color{blue}{ P = \left( -3 , 0 \right) } $.	2
1689	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -8 , -3 \right)} $ passing throught the point $ \color{blue}{ P = \left( -3 , -7 \right) } $.	2
1690	Find the center and radius of the circle $ \left( x + 9 \right)^2 + \left( y + 6 \right)^2 = 16 $.	2
1691	Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y + 15 \right)^2 = 10 $.	2
1692	Find the center and radius of the circle $ \left( x + 8 \right)^2 + \left( y + 5 \right)^2 = 9 $.	2
1693	Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - 14 \right)^2 = 9 $.	2
1694	Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - 14 \right)^2 = 8 $.	2
1695	Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y - 5 \right)^2 = 16 $.	2
1696	Find the center and radius of the circle $ x^2 + y^2 -10 x + 6 y -2 = 0 $.	2
1697	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -2 \right)} $ and radius $ \color{blue}{ 4 }$	2
1698	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 6 \right)^2 = 19 $.	2
1699		2
1700		2