Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 501 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 24 , 18 \right)} $ and radius $ \color{blue}{ 25 }$ | 6 |
| 502 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 5 \right)} $ and radius $ \color{blue}{ 2 }$ | 6 |
| 503 | Find the center and radius of the circle $ x^2 + y^2 -20 x + 8 y + 115 = 0 $. | 5 |
| 504 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 4167 }{ 1000 } , \frac{ 5167 }{ 1000 } \right)} $ passing throught the point $ \color{blue}{ P = \left( 4 , 4 \right) } $. | 5 |
| 505 | | 5 |
| 506 | Find the center and radius of the circle $ x^2 + \left( y + 4 \right)^2 = 1 $. | 5 |
| 507 | Find the center and radius of the circle $ \left( x + 9 \right)^2 + \left( y + 8 \right)^2 = 4 $. | 5 |
| 508 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -7 , -6 \right)} $ and radius $ \color{blue}{ \sqrt{ 13 } }$ | 5 |
| 509 | Find the center and radius of the circle $ x^2 + y^2 + 8 x + 10 y -8 = 0 $. | 5 |
| 510 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , -2 \right)} $ passing throught the point $ \color{blue}{ P = \left( 8 , 0 \right) } $. | 5 |
| 511 | Find the center and radius of the circle $ x^2 + y^2 + 8 x + 12 = 0 $. | 5 |
| 512 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 3 \right)^2 = 36 $. | 5 |
| 513 | Find the center and radius of the circle $ x^2 + y^2 + 18 x + 4 y + 15 = 0 $. | 5 |
| 514 | Find the center and radius of the circle $ x^2 + y^2 -13 y -22 = 0 $. | 5 |
| 515 | Find the center and radius of the circle $ x^2 + y^2 -11 x -19 = 0 $. | 5 |
| 516 | Find the center and radius of the circle $ x^2 + y^2 -17 y -9 = 0 $. | 5 |
| 517 | | 5 |
| 518 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -\frac{ 3 }{ 2 } , 2 \right)} $ and radius $ \color{blue}{ \frac{\sqrt{ 41 }}{ 2 } }$ | 5 |
| 519 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + y^2 = 9 $. | 5 |
| 520 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 5 \right)} $ and radius $ \color{blue}{ \sqrt{ 10 } }$ | 5 |
| 521 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -6 \right)} $ and radius $ \color{blue}{ 9 }$ | 5 |
| 522 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 2 \right)^2 = 2 \sqrt{ 3 } $. | 5 |
| 523 | Find the center and radius of the circle $ \left( x + \frac{ 1 }{ 2 } \right)^2 + \left( y - \frac{ 1 }{ 4 } \right)^2 = 49 $. | 5 |
| 524 | Find the center and radius of the circle $ \left( x + \frac{ 9 }{ 2 } \right)^2 + \left( y + 9 \right)^2 = \frac{ 81 }{ 4 } $. | 5 |
| 525 | | 5 |
| 526 | Find general equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 9 }{ 2 } , -1 \right)} $ and radius $ \color{blue}{ \sqrt{ 85 } }$ | 5 |
| 527 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 3 , -8 \right)} $ and radius $ \color{blue}{ 6 }$ | 5 |
| 528 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 0 , 5 \right)} $ and radius $ \color{blue}{ 2 }$ | 5 |
| 529 | Find the center and radius of the circle $ x^2 + y^2 + 8 x + 10 y + 37 = 0 $. | 5 |
| 530 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 1 }{ 3 } , -\frac{ 1 }{ 6 } \right)} $ and radius $ \color{blue}{ \frac{ 2 }{ 3 } }$ | 5 |
| 531 | Find the center and radius of the circle $ x^2+(y-3)^2=9 $. | 5 |
| 532 | Find the center and radius of the circle $ \left( x + 14 \right)^2 + \left( y + 12 \right)^2 = 361 $. | 5 |
| 533 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 3 \right)} $ and radius $ \color{blue}{ 0 }$ | 5 |
| 534 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , -2 \right)} $ and radius $ \color{blue}{ 4 \sqrt{ 3 } }$ | 5 |
| 535 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y - 2 \right)^2 = 25 $. | 5 |
| 536 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y - 4 \right)^2 = 9 $. | 5 |
| 537 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 4 \right)} $ and radius $ \color{blue}{ 4 }$ | 5 |
| 538 | Find the center and radius of the circle $ x^2 + y^2 + 14 x -18 y + 81 = 0 $. | 5 |
| 539 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 4 \right)^2 = 9 $. | 5 |
| 540 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -7 \right)} $ passing throught the point $ \color{blue}{ P = \left( -12 , -19 \right) } $. | 5 |
| 541 | Find the center and radius of the circle $ x^2 + y^2 -6 x + 12 y -55 = 0 $. | 5 |
| 542 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + \left( y + 3 \right)^2 = 36 $. | 5 |
| 543 | Find the center and radius of the circle $ x^2 + y^2 -2 x + 6 y -15 = 0 $. | 5 |
| 544 | Find the center and radius of the circle $ x^2 + y^2 + 8 x -6 y + 21 = 0 $. | 5 |
| 545 | Find the center and radius of the circle $ x^2 + y^2 + 10 x + 2 y + 17 = 0 $. | 5 |
| 546 | Find the center and radius of the circle $ x^2 + y^2 + 4 x + 8 y -5 = 0 $. | 5 |
| 547 | Find the center and radius of the circle $ \left(x - 11 \right)^2 + \left( y + 14 \right)^2 = 225 $. | 5 |
| 548 | Find the center and radius of the circle $ x^2 + y^2 + 4 x -6 y -87 = 0 $. | 5 |
| 549 | Find the center and radius of the circle $ x^2 + y^2 + 6 y -7 = 0 $. | 5 |
| 550 | Find the center and radius of the circle $ \left( x + 14 \right)^2 + \left( y + 10 \right)^2 = 100 $. | 5 |
