Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 4001 | Find the center and radius of the circle $ x^2 + y^2 + 14 x -18 y -45 = 0 $. | 1 |
| 4002 | Find the center and radius of the circle $ x^2 + y^2 + 2 x -6 y -12 = 0 $. | 1 |
| 4003 | Find the center and radius of the circle $ x^2 + y^2 = 49 $. | 1 |
| 4004 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + y^2 = 4 $. | 1 |
| 4005 | Find the center and radius of the circle $ x^2 + y^2 + 4 x -6 y -5 = 0 $. | 1 |
| 4006 | Find the center and radius of the circle $ x^2 + y^2 + 4 x -6 y -13 = 0 $. | 1 |
| 4007 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -8 \right)} $ passing throught the point $ \color{blue}{ P = \left( -11 , -23 \right) } $. | 1 |
| 4008 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -5 \right)} $ and radius $ \color{blue}{ 0 }$ | 1 |
| 4009 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , 5 \right)} $ and radius $ \color{blue}{ \sqrt{ 119 } }$ | 1 |
| 4010 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 0 \right)} $ and radius $ \color{blue}{ \sqrt{ 105 } }$ | 1 |
| 4011 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 7 , -7 \right)} $ passing throught the point $ \color{blue}{ P = \left( 11 , -3 \right) } $. | 1 |
| 4012 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , 6 \right)} $ passing throught the point $ \color{blue}{ P = \left( 4 , 9 \right) } $. | 1 |
| 4013 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -6 , 4 \right)} $ passing throught the point $ \color{blue}{ P = \left( -3 , 6 \right) } $. | 1 |
| 4014 | Find the center and radius of the circle $ x^2 + y^2 -10 x + 6 = 0 $. | 1 |
| 4015 | 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( -2 , 6 \right) } $. | 1 |
| 4016 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( -4 , 7 \right) } $. | 1 |
| 4017 | Find the center and radius of the circle $ \left(x - 7 \right)^2 + \left( y + 2 \right)^2 = 81 $. | 1 |
| 4018 | 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( 6 , 8 \right) } $. | 1 |
| 4019 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -6 , -7 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 4020 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 6 , -4 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 4021 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 6 \right)} $ and radius $ \color{blue}{ 4 }$ | 1 |
| 4022 | Find the center and radius of the circle $ x^2 + y^2 + 20 x -\frac{ 56 }{ 3 } y -\frac{ 464 }{ 3 } = 0 $. | 1 |
| 4023 | Find the center and radius of the circle $ x^2 + y^2 -2 x + 6 y -26 = 0 $. | 1 |
| 4024 | Find the center and radius of the circle $ \left( x + \frac{ 5 }{ 2 } \right)^2 + \left( y - \frac{ 1 }{ 2 } \right)^2 = \frac{ 15 }{ 2 } $. | 1 |
| 4025 | Find the center and radius of the circle $ x^2 + y^2 + 8 x -4 y -14 = 0 $. | 1 |
| 4026 | Find the center and radius of the circle $ \left(x - 1 \right)^2 + y^2 = 7 $. | 1 |
| 4027 | Find the center and radius of the circle $ \left(x - 1 \right)^2 + y^2 = 49 $. | 1 |
| 4028 | Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y + 1 \right)^2 = 16 $. | 1 |
| 4029 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + 5 \right)^2 = 7 $. | 1 |
| 4030 | Find the center and radius of the circle $ x^2 + y^2 + 2 x -4 y -4 = 0 $. | 1 |
| 4031 | Find the center and radius of the circle $ x^2 + \left( y - 6 \right)^2 = 9 $. | 1 |
| 4032 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 5 \right)^2 = 49 $. | 1 |
| 4033 | Find the center and radius of the circle $ x^2 + y^2 = 63 $. | 1 |
| 4034 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + 2 \right)^2 = 25 $. | 1 |
| 4035 | Find the center and radius of the circle $ x^2 + y^2 = 18 $. | 1 |
| 4036 | Find the center and radius of the circle $ \left(x - \frac{ 1 }{ 2 } \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 18 $. | 1 |
| 4037 | Find the center and radius of the circle $ \left(x - \frac{ 5 }{ 2 } \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 18 $. | 1 |
| 4038 | Find the center and radius of the circle $ x^2 + y^2 + 10 x + 4 y -20 = 0 $. | 1 |
| 4039 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 4 } \right)^2 = 18 $. | 1 |
| 4040 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 3 }{ 4 } \right)^2 = 18 $. | 1 |
| 4041 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 7 }{ 10 } \right)^2 = 15 $. | 1 |
| 4042 | Find the center and radius of the circle $ \left(x - \frac{ 5 }{ 2 } \right)^2 + \left( y + \frac{ 7 }{ 10 } \right)^2 = 16 $. | 1 |
| 4043 | Find the center and radius of the circle $ \left(x - \frac{ 19 }{ 10 } \right)^2 + \left( y + \frac{ 4 }{ 5 } \right)^2 = 16 $. | 1 |
| 4044 | Find the center and radius of the circle $ \left(x - \frac{ 19 }{ 10 } \right)^2 + \left( y + \frac{ 3 }{ 5 } \right)^2 = 17 $. | 1 |
| 4045 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 4 $. | 1 |
| 4046 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 10 $. | 1 |
| 4047 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 15 $. | 1 |
| 4048 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = \frac{ 31 }{ 2 } $. | 1 |
| 4049 | Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y + 9 \right)^2 = 14 $. | 1 |
| 4050 | Find the center and radius of the circle $ x^2 + y^2 = 5 $. | 1 |
