Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 3951 | Find the center and radius of the circle $ x^2 + y^2 + 8 x + 14 y + 56 = 0 $. | 1 |
| 3952 | Find the center and radius of the circle $ x^2 + y^2 -2 x -12 y + 21 = 0 $. | 1 |
| 3953 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 4 \right)^2 = 49 $. | 1 |
| 3954 | Find the center and radius of the circle $ x^2 + \left( y - 2 \right)^2 = 4 $. | 1 |
| 3955 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ 6 }$ | 1 |
| 3956 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 10 , 15 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 3957 | Find the center and radius of the circle $ x^2 + y^2 + 10 x -14 y -3 = 0 $. | 1 |
| 3958 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -\frac{ 1 }{ 6 } \right)} $ and radius $ \color{blue}{ \frac{ 5 }{ 3 } }$ | 1 |
| 3959 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 3 \right)} $ and radius $ \color{blue}{ 6 }$ | 1 |
| 3960 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -8 , 4 \right)} $ passing throught the point $ \color{blue}{ P = \left( -4 , 2 \right) } $. | 1 |
| 3961 | Find the center and radius of the circle $ x^2 + y^2 -2 x -2 y -3 = 0 $. | 1 |
| 3962 | Find the center and radius of the circle $ x^2 + y^2 + 2 x + 16 y + 56 = 0 $. | 1 |
| 3963 | Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y - 1 \right)^2 = 81 $. | 1 |
| 3964 | Find the center and radius of the circle $ \left(x - \frac{ 13 }{ 5 } \right)^2 + \left( y - 5 \right)^2 = \frac{ 1 }{ 10 } $. | 1 |
| 3965 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -8 \right)} $ passing throught the point $ \color{blue}{ P = \left( -4 , -8 \right) } $. | 1 |
| 3966 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y + 4 \right)^2 = 15 $. | 1 |
| 3967 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 8 , 7 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 3968 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 1 \right)} $ and radius $ \color{blue}{ 4 }$ | 1 |
| 3969 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -6 , -7 \right)} $ and radius $ \color{blue}{ 8 }$ | 1 |
| 3970 | Find the center and radius of the circle $ \left(x - 9 \right)^2 + \left( y + 2 \right)^2 = 144 $. | 1 |
| 3971 | Find the center and radius of the circle $ \left(x - 9 \right)^2 + \left( y + 2 \right)^2 = 36 $. | 1 |
| 3972 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -4 \right)} $ passing throught the point $ \color{blue}{ P = \left( 5 , -2 \right) } $. | 1 |
| 3973 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 6 , -2 \right)} $ and radius $ \color{blue}{ 16 }$ | 1 |
| 3974 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , 5 \right)} $ and radius $ \color{blue}{ \frac{ 3 }{ 2 } }$ | 1 |
| 3975 | 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( -4 , 2 \right) } $. | 1 |
| 3976 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 1 \right)} $ and radius $ \color{blue}{ 14 }$ | 1 |
| 3977 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 3 \right)} $ and radius $ \color{blue}{ 34 }$ | 1 |
| 3978 | Find the center and radius of the circle $ \left(x - 12 \right)^2 + \left( y + 6 \right)^2 = 36 $. | 1 |
| 3979 | Find the center and radius of the circle $ x^2 + y^2 -24 x -8 y + 144 = 0 $. | 1 |
| 3980 | Find the center and radius of the circle $ x^2 + y^2 + 12 x + 4 y + 4 = 0 $. | 1 |
| 3981 | Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y + 1 \right)^2 = 25 $. | 1 |
| 3982 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 8 , 5 \right)} $ and radius $ \color{blue}{ 5 }$ | 1 |
| 3983 | Find the center and radius of the circle $ \left(x - \frac{ 25 }{ 2 } \right)^2 + \left( y + 4 \right)^2 = \frac{ 541 }{ 4 } $. | 1 |
| 3984 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 2 , 2 \right)} $ and radius $ \color{blue}{ 5 }$ | 1 |
| 3985 | Find the center and radius of the circle $ x^2 + y^2 -20 x -16 y + 139 = 0 $. | 1 |
| 3986 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , -6 \right)} $ and radius $ \color{blue}{ 2 \sqrt{ 5 } }$ | 1 |
| 3987 | Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y + 6 \right)^2 = 40 $. | 1 |
| 3988 | Find the center and radius of the circle $ x^2 + y^2 -\frac{ 1 }{ 2 } x + \frac{ 1 }{ 2 } y -\frac{ 7 }{ 8 } = 0 $. | 1 |
| 3989 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , 0 \right)} $ and radius $ \color{blue}{ 6 }$ | 1 |
| 3990 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \sqrt{ 2 } , \sqrt{ 2 } \right)} $ and radius $ \color{blue}{ \sqrt{ 2 } }$ | 1 |
| 3991 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 2679 }{ 1000 } , \frac{ 169 }{ 50 } \right)} $ and radius $ \color{blue}{ \frac{ 41 }{ 100 } }$ | 1 |
| 3992 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , 3 \right)} $ and radius $ \color{blue}{ 5 }$ | 1 |
| 3993 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , -5 \right)} $ and radius $ \color{blue}{ 9 }$ | 1 |
| 3994 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 2 \right)} $ passing throught the point $ \color{blue}{ P = \left( 6 , 8 \right) } $. | 1 |
| 3995 | Find the center and radius of the circle $ x^2 + y^2 -4 x + 6 y + 4 = 0 $. | 1 |
| 3996 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + y^2 = 16 $. | 1 |
| 3997 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 3 , 0 \right)} $ and radius $ \color{blue}{ 4 }$ | 1 |
| 3998 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , 1 \right)} $ and radius $ \color{blue}{ 1 }$ | 1 |
| 3999 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 2 , 4 \right)} $ and radius $ \color{blue}{ 3 \sqrt{ 2 } }$ | 1 |
| 4000 | Find the center and radius of the circle $ \left( x + 7 \right)^2 + \left( y + 1 \right)^2 = 5 $. | 1 |
