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
1551	Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 8 $.	2
1552	Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 20 $.	2
1553	Find the center and radius of the circle $ x^2 + y^2 = 16 $.	2
1554	Find the center and radius of the circle $ x^2 + \left( y + 2 \right)^2 = 1 $.	2
1555	Find the center and radius of the circle $ x^2 + y^2 -14 y + 276 = 0 $.	2
1556	Find the center and radius of the circle $ x^2 + \left( y - 7 \right)^2 = 227 $.	2
1557	Find the center and radius of the circle $ x^2 + \left( y - 7 \right)^2 = 0 $.	2
1558	Find the center and radius of the circle $ x^2 + y^2 = \sqrt{ 2 } $.	2
1559	Find the center and radius of the circle $ x^2 + y^2 = 16 $.	2
1560	Find the center and radius of the circle $ x^2 + y^2 + 8 x + 8 y + 28 = 0 $.	2
1561	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 2 y + 41 = 0 $.	2
1562	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y + 3 \right)^2 = 0 $.	2
1563	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y + 3 \right)^2 = 34 $.	2
1564	Find the center and radius of the circle $ x^2 + y^2 + 12 x + 8 y + 48 = 0 $.	2
1565	Find the center and radius of the circle $ x^2 + y^2 + 4 x + 76 y = 0 $.	2
1566	Find the center and radius of the circle $ x^2 + y^2 -4 x -76 y = 0 $.	2
1567	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 6 \right)} $ and radius $ \color{blue}{ 16 }$	2
1568	Find general equation of a circle with a center at $ \color{blue}{C = \left( -7 , 2 \right)} $ and radius $ \color{blue}{ 16 }$	2
1569	Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 5 \right)^2 = 23 $.	2
1570	Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y + 6 \right)^2 = 2 \sqrt{ 15 } $.	2
1571	Find the center and radius of the circle $ \left(x - 7 \right)^2 + \left( y + 2 \right)^2 = 5 $.	2
1572	Find the center and radius of the circle $ \left( x + 5 \right)^2 + \left( y + 2 \right)^2 = 1 $.	2
1573	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 7 \right)} $ and radius $ \color{blue}{ 5 }$	2
1574	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , -7 \right)} $ and radius $ \color{blue}{ \frac{ 559 }{ 250 } }$	2
1575	Find the center and radius of the circle $ x^2 + y^2 + 2 x -14 y = 0 $.	2
1576	Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y - 11 \right)^2 = 16 $.	2
1577	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -17 , -13 \right)} $ passing throught the point $ \color{blue}{ P = \left( -19 , -13 \right) } $.	2
1578	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 2 \right)^2 = 4 $.	2
1579	Find the center and radius of the circle $ x^2 + y^2 + 2 x -12 y = 0 $.	2
1580	Find the center and radius of the circle $ \left(x - \frac{ 7 }{ 2 } \right)^2 + \left( y + 2 \right)^2 = 0 $.	2
1581	Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 7 }{ 2 } , -2 \right)} $ and radius $ \color{blue}{ 0 }$	2
1582	Find the center and radius of the circle $ \left( x + 8 \right)^2 + \left( y - 3 \right)^2 = 0 $.	2
1583	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -5 \right)} $ and radius $ \color{blue}{ 10 }$	2
1584	Find the center and radius of the circle $ \left( x + 6 \right)^2 + \left( y - 9 \right)^2 = 0 $.	2
1585	Find the center and radius of the circle $ x^2 + y^2 = 130 $.	2
1586	Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y + 4 \right)^2 = 38 $.	2
1587	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -6 , -7 \right)} $ and radius $ \color{blue}{ 10 }$	2
1588	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 9 , 7 \right)} $ and radius $ \color{blue}{ \frac{ 5 }{ 2 } }$	2
1589	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 4 \right)^2 = \frac{ 87 }{ 2 } $.	2
1590	Find the center and radius of the circle $ x^2 + y^2 -8 y -48 = 0 $.	2
1591	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 1 \right)^2 = 36 $.	2
1592	Find the center and radius of the circle $ x^2 + \left( y - 2 \right)^2 = 36 $.	2
1593	Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = 64 $.	2
1594	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( 4 , 2 \right) } $.	2
1595	Find the center and radius of the circle $ x^2 + y^2 + 12 x -16 y + 40 = 0 $.	2
1596	Find the center and radius of the circle $ x^2 + y^2 + 8 x + 4 y + 5 = 0 $.	2
1597	Find the center and radius of the circle $ x^2 + y^2 + 8 x -4 y + 5 = 0 $.	2
1598		2
1599	Find the center and radius of the circle $ x^2 + y^2 + 3 x + 4 y = 0 $.	2
1600	Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y - 3 \right)^2 = 16 $.	2