Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 6201 | Find the center and radius of the circle $ x^2 + \left( y - 3 \right)^2 = 25 $. | 1 |
| 6202 | Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y + 9 \right)^2 = 26 $. | 1 |
| 6203 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 9 \right)} $ and radius $ \color{blue}{ 8 }$ | 1 |
| 6204 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 4 \right)} $ and radius $ \color{blue}{ 5 }$ | 1 |
| 6205 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -2 \right)} $ and radius $ \color{blue}{ \sqrt{ 91 } }$ | 1 |
| 6206 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 0 \right)} $ and radius $ \color{blue}{ \sqrt{ 3 } }$ | 1 |
| 6207 | Find the center and radius of the circle $ x^2 + y^2 -2 x -15 = 0 $. | 1 |
| 6208 | Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y + 6 \right)^2 = 0 $. | 1 |
| 6209 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -3 \right)} $ passing throught the point $ \color{blue}{ P = \left( \frac{ 57 }{ 10 } , -2 \right) } $. | 1 |
| 6210 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -3 \right)} $ passing throught the point $ \color{blue}{ P = \left( \sqrt{ 32 } , -2 \right) } $. | 1 |
| 6211 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 6 \right)} $ and radius $ \color{blue}{ \sqrt{ 108 } }$ | 1 |
| 6212 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y - 4 \right)^2 = 8 $. | 1 |
| 6213 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , -7 \right)} $ and radius $ \color{blue}{ 10 }$ | 1 |
| 6214 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -8 , 8 \right)} $ passing throught the point $ \color{blue}{ P = \left( 4 , 24 \right) } $. | 1 |
| 6215 | Find the center and radius of the circle $ x^2 + y^2 -6 x + 18 y -31 = 0 $. | 1 |
| 6216 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 6217 | Find the center and radius of the circle $ x^2 + y^2 + 10 x = 0 $. | 1 |
| 6218 | Find the center and radius of the circle $ \left( x + 11 \right)^2 + \left( y - 10 \right)^2 = 81 $. | 1 |
| 6219 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 3 \right)} $ and radius $ \color{blue}{ 5 }$ | 1 |
| 6220 | Find the center and radius of the circle $ x^2 + y^2 -6 x + 3 y + 6 = 0 $. | 1 |
| 6221 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y - 1 \right)^2 = 9 $. | 1 |
| 6222 | Find the center and radius of the circle $ x^2 + y^2 -8 x + 2 y = 0 $. | 1 |
| 6223 | Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y + 1 \right)^2 = 17 $. | 1 |
| 6224 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 5 \right)} $ and radius $ \color{blue}{ 8 }$ | 1 |
| 6225 | Find the center and radius of the circle $ \left(x - 6 \right)^2 + \left( y - 2 \right)^2 = 0 $. | 1 |
| 6226 | Find the center and radius of the circle $ \left(x - 16 \right)^2 + \left( y + 12 \right)^2 = 9 $. | 1 |
| 6227 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -\frac{ 5 }{ 2 } , -\frac{ 22 }{ 5 } \right)} $ and radius $ \color{blue}{ \frac{ 7 }{ 4 } }$ | 1 |
| 6228 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 13 }{ 10 } , -\frac{ 7 }{ 2 } \right)} $ and radius $ \color{blue}{ \sqrt{ 37 } }$ | 1 |
| 6229 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , -5 \right)} $ passing throught the point $ \color{blue}{ P = \left( 0 , -4 \right) } $. | 1 |
| 6230 | Find the center and radius of the circle $ x^2 + \left( y + 7 \right)^2 = 4 $. | 1 |
| 6231 | Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - \frac{ 7 }{ 2 } \right)^2 = \frac{ 109 }{ 4 } $. | 1 |
| 6232 | Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - \frac{ 7 }{ 2 } \right)^2 = 1 $. | 1 |
| 6233 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -3 \right)} $ and radius $ \color{blue}{ 10 }$ | 1 |
| 6234 | Find the center and radius of the circle $ \left( x + 5 \right)^2 + \left( y - 7 \right)^2 = 54 $. | 1 |
| 6235 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 6 , -9 \right)} $ and radius $ \color{blue}{ 1 }$ | 1 |
| 6236 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 1 \right)} $ and radius $ \color{blue}{ 2 }$ | 1 |
| 6237 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -11 , 15 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 6238 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , -7 \right)} $ and radius $ \color{blue}{ \sqrt{ 14 } }$ | 1 |
| 6239 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 8 , 2 \right)} $ and radius $ \color{blue}{ \sqrt{ 133 } }$ | 1 |
| 6240 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , -7 \right)} $ and radius $ \color{blue}{ 9 }$ | 1 |
| 6241 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , -7 \right)} $ and radius $ \color{blue}{ \frac{ 9 }{ 2 } }$ | 1 |
| 6242 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , -3 \right)} $ and radius $ \color{blue}{ 8 }$ | 1 |
| 6243 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( 2 , 3 \right) } $. | 1 |
| 6244 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( 1 , 6 \right) } $. | 1 |
| 6245 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 8 , 3 \right)} $ and radius $ \color{blue}{ 7 }$ | 1 |
| 6246 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + 2 \right)^2 = 9 $. | 1 |
| 6247 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 3 \right)^2 = 1 $. | 1 |
| 6248 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 2 \right)^2 = 11 $. | 1 |
| 6249 | Find the center and radius of the circle $ x^2 + y^2 -6 y -7 = 0 $. | 1 |
| 6250 | Find the center and radius of the circle $ x^2 + y^2 + 8 x -6 y + 166 = 0 $. | 1 |
