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
2501	Find the center and radius of the circle $ x^2 + y^2 + 14 x -18 y + 105 = 0 $.	2
2502	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 4 y -20 = 0 $.	2
2503	Find the center and radius of the circle $ x^2 + y^2 -18 x + 10 y + 25 = 0 $.	2
2504	Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 7 \right)^2 = 50 $.	2
2505	Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y - 1 \right)^2 = 49 $.	2
2506	Find the center and radius of the circle $ x^2 + y^2 + 10 x + 2 y + 51 = 0 $.	2
2507	Find the center and radius of the circle $ x^2 + y^2 + 12 x -14 y + 86 = 0 $.	2
2508	Find the center and radius of the circle $ x^2 + y^2 -56 y + 98 = 0 $.	2
2509	Find the center and radius of the circle $ x^2 + \left( y - \frac{ 7 }{ 2 } \right)^2 = 0 $.	2
2510	Find the center and radius of the circle $ x^2 + y^2 -12 x + 8 y + 3 = 0 $.	2
2511	Find the center and radius of the circle $ x^2 + \left( y + 3 \right)^2 = 7 $.	2
2512	Find the center and radius of the circle $ x^2 + y^2 + 22 x + 6 y + 129 = 0 $.	2
2513	Find the center and radius of the circle $ x^2 + y^2 -22 x + 6 y + 129 = 0 $.	2
2514		2
2515	Find the center and radius of the circle $ x^2 + y^2 + 12 x -8 y + 2 = 0 $.	2
2516	Find the center and radius of the circle $ x^2 + y^2 -\frac{ 5 }{ 2 } x + \frac{ 5 }{ 2 } y -\frac{ 23 }{ 8 } = 0 $.	2
2517	Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 46 }{ 5 } , -\frac{ 37 }{ 5 } \right)} $ and radius $ \color{blue}{ \frac{ 5 }{ 3 } }$	2
2518	Find general equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 46 }{ 5 } , -\frac{ 37 }{ 5 } \right)} $ and radius $ \color{blue}{ \frac{ 5 }{ 3 } }$	2
2519	Find the center and radius of the circle $ \left( x + 10 \right)^2 + \left( y + 20 \right)^2 = 10 $.	2
2520	Find standard equation of a circle with a center at $ \color{blue}{C = \left( \sqrt{ 2 } , \sqrt{ 5 } \right)} $ and radius $ \color{blue}{ \sqrt{ 6 } }$	2
2521	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 3 \right)} $ and radius $ \color{blue}{ 2 \sqrt{ 5 } }$	2
2522	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , 1 \right)} $ and radius $ \color{blue}{ \sqrt{ 13 } }$	2
2523	Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , -3 \right)} $ and radius $ \color{blue}{ \sqrt{ 5 } }$	2
2524	Find the center and radius of the circle $ x^2 + y^2 -6 x + 10 y + 9 = 0 $.	2
2525	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -4 \right)} $ passing throught the point $ \color{blue}{ P = \left( \sqrt{ 44 } , -5 \right) } $.	2
2526	Find general equation of a circle with a center at $ \color{blue}{C = \left( -2 , -7 \right)} $ and radius $ \color{blue}{ 8 }$	2
2527	Find the center and radius of the circle $ x^2 + y^2 + 16 x + 18 y -3 = 0 $.	2
2528	Find the center and radius of the circle $ x^2 + y^2 + 16 x + 8 y -3 = 0 $.	2
2529	Find the center and radius of the circle $ x^2 + y^2 + 4 x + 12 y -4 = 0 $.	2
2530	Find the center and radius of the circle $ \left( x + 6 \right)^2 + \left( y + \frac{ 3 }{ 4 } \right)^2 = \frac{ 23 }{ 6 } $.	2
2531	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 6 y + 24 = 0 $.	2
2532	Find the center and radius of the circle $ \left( x + 5 \right)^2 + \left( y + 7 \right)^2 = 12 $.	2
2533	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 7 \right)} $ and radius $ \color{blue}{ 12 }$	2
2534	Find the center and radius of the circle $ x^2 + y^2 -14 x + 16 y -12 = 0 $.	2
2535	Find the center and radius of the circle $ x^2 + y^2 -6 x + 10 y + 20 = 0 $.	2
2536		2
2537	Find the center and radius of the circle $ x^2 + y^2 -14 x + 6 y + 49 = 0 $.	2
2538	Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 7 \right)} $ and radius $ \color{blue}{ 0 }$	2
2539	Find the center and radius of the circle $ x^2 + y^2 + 2 x + 6 y + 4 = 0 $.	2
2540	Find the center and radius of the circle $ x^2 + y^2 + 4 x -y + 4 = 0 $.	2
2541		2
2542	Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 2 \right)^2 = 81 $.	2
2543	Find the center and radius of the circle $ \left(x - 7 \right)^2 + \left( y - 7 \right)^2 = 7 $.	2
2544		2
2545	Find the center and radius of the circle $ x^2 + y^2 + 8 y + 7 = 0 $.	2
2546	Find the center and radius of the circle $ x^2 + y^2 + 9 x -7 y + \frac{ 25 }{ 2 } = 0 $.	2
2547	Find the center and radius of the circle $ \left( x + \frac{ 3 }{ 2 } \right)^2 + y^2 = 13 $.	2
2548	Find the center and radius of the circle $ x^2 + y^2 -14 x + 16 y -12 = 0 $.	2
2549	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( -2 , 17 \right) } $.	2
2550	Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -9 \right)} $ passing throught the point $ \color{blue}{ P = \left( 1 , -13 \right) } $.	2