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
1601	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 6 \right)} $ and radius $ \color{blue}{ 13 }$	2
1602	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , -2 \right)} $ and radius $ \color{blue}{ \sqrt{ 21 } }$	2
1603	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 9 , 10 \right)} $ passing throught the point $ \color{blue}{ P = \left( 7 , 4 \right) } $.	2
1604	Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y + 2 \right)^2 = 169 $.	2
1605	Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y - 7 \right)^2 = 81 $.	2
1606	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 6 y + 14 = 0 $.	2
1607	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 6 , 9 \right)} $ and radius $ \color{blue}{ \frac{ 3 }{ 2 } }$	2
1608	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 3 \right)} $ and radius $ \color{blue}{ 3 }$	2
1609	Find the center and radius of the circle $ \left( x + \frac{ 2 }{ 5 } \right)^2 + \left( y + \frac{ 5 }{ 7 } \right)^2 = \frac{ 25 }{ 81 } $.	2
1610	Find the center and radius of the circle $ x^2 + y^2 -6 y -5 = 0 $.	2
1611	Find the center and radius of the circle $ x^2 + y^2 -6 y + 5 = 0 $.	2
1612	Find the center and radius of the circle $ x^2 + y^2 + 10 x + 14 y + 38 = 0 $.	2
1613	Find the center and radius of the circle $ \left(x - \frac{ 3 }{ 4 } \right)^2 + \left( y + 2 \right)^2 = \frac{ 1 }{ 2 } $.	2
1614	Find the center and radius of the circle $ x^2 + y^2 -x -7 y -12 = 0 $.	2
1615	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 1 \right)} $ passing throught the point $ \color{blue}{ P = \left( 3 , 1 \right) } $.	2
1616	Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y - 5 \right)^2 = 7 $.	2
1617	Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y - 4 \right)^2 = 3 $.	2
1618	Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y + 4 \right)^2 = 4 $.	2
1619	Find the center and radius of the circle $ x^2 + y^2 + 4 x + 4 y + 12 = 0 $.	2
1620	Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y - 4 \right)^2 = 5 $.	2
1621	Find the center and radius of the circle $ x^2 + \left( y + 5 \right)^2 = 0 $.	2
1622	Find the center and radius of the circle $ x^2 + \left( y + 5 \right)^2 = 5 $.	2
1623	Find the center and radius of the circle $ x^2 + \left( y + 5 \right)^2 = 25 $.	2
1624	Find the center and radius of the circle $ x^2 + y^2 + 4 x -6 y + 12 = 0 $.	2
1625	Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y + 2 \right)^2 = 4 $.	2
1626	Find the center and radius of the circle $ x^2 + y^2 + 3 x -4 y -6 = 0 $.	2
1627	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 3 \right)} $ and radius $ \color{blue}{ \frac{ 2 }{ 3 } }$	2
1628	Find the center and radius of the circle $ x^2 + y^2 + \frac{ 32 }{ 25 } x + \frac{ 32 }{ 25 } y -2 = 0 $.	2
1629	Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y - 4 \right)^2 = 16 $.	2
1630	Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y + 4 \right)^2 = 1 $.	2
1631	Find the center and radius of the circle $ \left(x - 664 \right)^2 + \left( y - 2121 \right)^2 = 303601 $.	2
1632	Find the center and radius of the circle $ \left(x - 664 \right)^2 + \left( y - 2121 \right)^2 = 640000 $.	2
1633	Find the center and radius of the circle $ x^2 + y^2 + 222 x + 182 y + 288 = 0 $.	2
1634	Find general equation of a circle with a center at $ \color{blue}{C = \left( -20 , 12 \right)} $ and radius $ \color{blue}{ \frac{ 7 }{ 2 } }$	2
1635	Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ \frac{ 25 }{ 2 } }$	2
1636	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 3 \right)} $ and radius $ \color{blue}{ 5 }$	2
1637	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , -2 \right)} $ passing throught the point $ \color{blue}{ P = \left( 1 , 3 \right) } $.	2
1638	Find the center and radius of the circle $ \left(x - 12 \right)^2 + \left( y + 9 \right)^2 = 144 $.	2
1639	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 6 \right)} $ and radius $ \color{blue}{ 7 }$	2
1640	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 9 \right)} $ and radius $ \color{blue}{ \frac{ 192 }{ 25 } }$	2
1641	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 6 , 8 \right)} $ and radius $ \color{blue}{ \frac{ 2 }{ 3 } }$	2
1642	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 4 y + 4 = 0 $.	2
1643	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 2 \right)} $ and radius $ \color{blue}{ 26 }$	2
1644	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y + 8 \right)^2 = 121 $.	2
1645		2
1646	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , 5 \right)} $ passing throught the point $ \color{blue}{ P = \left( 1 , 4 \right) } $.	2
1647	Find the center and radius of the circle $ \left( x + 6 \right)^2 + \left( y + 6 \right)^2 = 0.6 $.	2
1648	Find the center and radius of the circle $ x^2 + y^2 -6 x -6 y + 22 = 0 $.	2
1649	Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 9 }{ 16 } , \frac{ 4 }{ 5 } \right)} $ and radius $ \color{blue}{ \frac{ 381 }{ 5000 } }$	2
1650	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 5 \right)} $ and radius $ \color{blue}{ 0 }$	2