Circle form 3 points
(the database of solved problems)
All the problems and solutions shown below were generated using the Three points circle calculator.
| ID |
Problem |
Count |
| 1 | Find equation of a circle passing through points $ A=\left(1,~30\right) $, $ B=\left(2,~40\right) $ and $ C=\left(4,~48\right) $. | 245 |
| 2 | Find equation of a circle passing through points $ A=\left(-2,~6\right) $, $ B=\left(-1,~5\right) $ and $ C=\left(-7,~1\right) $. | 86 |
| 3 | Find equation of a circle passing through points $ A=\left(2,~0\right) $, $ B=\left(4,~1\right) $ and $ C=\left(-1,~3\right) $. | 43 |
| 4 | Find equation of a circle passing through points $ A=\left(1,~2\right) $, $ B=\left(3,~1\right) $ and $ C=\left(-3,~-1\right) $. | 35 |
| 5 | Find equation of a circle passing through points $ A=\left(-18,~-5\right) $, $ B=\left(-7,~-16\right) $ and $ C=\left(4,~-5\right) $. | 23 |
| 6 | Find equation of a circle passing through points $ A=\left(0,~0\right) $, $ B=\left(6,~0\right) $ and $ C=\left(-6,~-36\right) $. | 19 |
| 7 | Find equation of a circle passing through points $ \left(100,~55\right) $, $ \left(105,~0\right) $ and $ \left(100,~-55\right) $. | 19 |
| 8 | Find equation of a circle passing through points $ A=\left(0,~-29\right) $, $ B=\left(22,~15\right) $ and $ C=\left(22,~-25\right) $. | 17 |
| 9 | Find equation of a circle passing through points $ \left(0,~1\right) $, $ \left(1,~1\right) $ and $ \left(-1,~2\right) $. | 15 |
| 10 | Find equation of a circle passing through points $ A=\left(4,~2\right) $, $ B=\left(1,~1\right) $ and $ C=\left(3,~5\right) $. | 14 |
| 11 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(8,~7\right) $ and $ C=\left(4,~9\right) $. | 13 |
| 12 | Find equation of a circle passing through points $ A=\left(-2,~0\right) $, $ B=\left(2,~4\right) $ and $ C=\left(0,~4\right) $. | 13 |
| 13 | Find equation of a circle passing through points $ \left(21,~29\right) $, $ \left(-29,~20\right) $ and $ \left(35,~-5\right) $. | 13 |
| 14 | Find equation of a circle passing through points $ \left(-1,~3\right) $, $ \left(-4,~6\right) $ and $ \left(2,~2\right) $. | 12 |
| 15 | Find equation of a circle passing through points $ \left(-7,~6\right) $, $ \left(9,~6\right) $ and $ \left(-4,~13\right) $. | 11 |
| 16 | Find equation of a circle passing through points $ \left(1,~3\right) $, $ \left(-2,~6\right) $ and $ \left(4,~2\right) $. | 10 |
| 17 | Find equation of a circle passing through points $ A=\left(4,~-4\right) $, $ B=\left(2,~-8\right) $ and $ C=\left(-5,~-1\right) $. | 10 |
| 18 | Find equation of a circle passing through points $ A=\left(1,~0\right) $, $ B=\left(6,~2\right) $ and $ C=\left(1,~8\right) $. | 9 |
| 19 | Find equation of a circle passing through points $ A=\left(4,~4\right) $, $ B=\left(4,~-4\right) $ and $ C=\left(-4,~0\right) $. | 9 |
| 20 | Find equation of a circle passing through points $ A=\left(-\dfrac{ 1 }{ 4 },~\dfrac{ 33 }{ 1000 }\right) $, $ B=\left(0,~0\right) $ and $ C=\left(\dfrac{ 1 }{ 4 },~\dfrac{ 33 }{ 1000 }\right) $. | 9 |
| 21 | Find equation of a circle passing through points $ A=\left(\dfrac{ 524207 }{ 10000 },~8.2831\right) $, $ B=\left(\dfrac{ 5193749 }{ 100000 },~6.6432\right) $ and $ C=\left(\dfrac{ 5090157 }{ 100000 },~6.7343\right) $. | 9 |
| 22 | Find equation of a circle passing through points $ \left(1,~-2\right) $, $ \left(5,~4\right) $ and $ \left(10,~5\right) $. | 9 |
| 23 | Find equation of a circle passing through points $ A=\left(1,~1\right) $, $ B=\left(2,~2\right) $ and $ C=\left(-1,~3\right) $. | 9 |
| 24 | Find equation of a circle passing through points $ \left(2,~4\right) $, $ \left(9,~6\right) $ and $ \left(3,~5\right) $. | 8 |
| 25 | Find equation of a circle passing through points $ A=\left(1,~-1\right) $, $ B=\left(5,~11\right) $ and $ C=\left(9,~7\right) $. | 8 |
| 26 | Find equation of a circle passing through points $ \left(1,~3\right) $, $ \left(5,~11\right) $ and $ \left(11,~4\right) $. | 8 |
| 27 | Find equation of a circle passing through points $ \left(1,~1\right) $, $ \left(2,~4\right) $ and $ \left(5,~3\right) $. | 8 |
| 28 | Find equation of a circle passing through points $ A=\left(0,~0\right) $, $ B=\left(0,~\dfrac{ 637 }{ 5000 }\right) $ and $ C=\left(\dfrac{ 441 }{ 2000 },~\dfrac{ 637 }{ 5000 }\right) $. | 8 |
| 29 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(6,~1\right) $ and $ C=\left(4,~-3\right) $. | 8 |
| 30 | Find equation of a circle passing through points $ \left(4,~2\right) $, $ \left(-4,~6\right) $ and $ \left(-1,~7\right) $. | 7 |
| 31 | Find equation of a circle passing through points $ \left(0,~0\right) $, $ \left(10,~6\right) $ and $ \left(30,~9\right) $. | 7 |
| 32 | Find equation of a circle passing through points $ A=\left(-6,~5\right) $, $ B=\left(-3,~-4\right) $ and $ C=\left(2,~1\right) $. | 7 |
| 33 | Find equation of a circle passing through points $ A=\left(0,~0\right) $, $ B=\left(0,~\dfrac{ 1353 }{ 10000 }\right) $ and $ C=\left(\dfrac{ 1079 }{ 5000 },~\dfrac{ 1353 }{ 10000 }\right) $. | 7 |
| 34 | Find equation of a circle passing through points $ \left(1,~2\right) $, $ \left(3,~4\right) $ and $ \left(5,~6\right) $. | 7 |
| 35 | Find equation of a circle passing through points $ A=\left(3,~1\right) $, $ B=\left(5,~3\right) $ and $ C=\left(-3,~-1\right) $. | 7 |
| 36 | Find equation of a circle passing through points $ A=\left(4,~2\right) $, $ B=\left(6,~1\right) $ and $ C=\left(-12,~2\right) $. | 6 |
| 37 | Find equation of a circle passing through points $ \left(2,~1\right) $, $ \left(0,~5\right) $ and $ \left(-1,~2\right) $. | 6 |
| 38 | Find equation of a circle passing through points $ A=\left(1,~-1\right) $, $ B=\left(7,~-3\right) $ and $ C=\left(4,~3\right) $. | 5 |
| 39 | Find equation of a circle passing through points $ \left(0,~2\right) $, $ \left(3,~0\right) $ and $ \left(3,~2\right) $. | 5 |
| 40 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(4,~9\right) $ and $ C=\left(8,~7\right) $. | 5 |
| 41 | Find equation of a circle passing through points $ \left(0,~0\right) $, $ \left(\dfrac{ 7 }{ 2 },~1\right) $ and $ \left(7,~0\right) $. | 5 |
| 42 | Find equation of a circle passing through points $ \left(1,~1\right) $, $ \left(2,~2\right) $ and $ \left(3,~3\right) $. | 5 |
| 43 | Find equation of a circle passing through points $ \left(3,~2\right) $, $ \left(-3,~-22\right) $ and $ \left(18,~-23\right) $. | 5 |
| 44 | Find equation of a circle passing through points $ \left(100,~55\right) $, $ \left(105,~7\right) $ and $ \left(100,~-55\right) $. | 5 |
| 45 | Find equation of a circle passing through points $ \left(-2,~0\right) $, $ \left(0,~0\right) $ and $ \left(-2,~2\right) $. | 5 |
| 46 | Find equation of a circle passing through points $ \left(-1,~-4\right) $, $ \left(3,~-2\right) $ and $ \left(5,~2\right) $. | 5 |
| 47 | Find equation of a circle passing through points $ A=\left(0,~3\right) $, $ B=\left(4,~2\right) $ and $ C=\left(-7,~-2\right) $. | 4 |
| 48 | Find equation of a circle passing through points $ \left(-4,~8\right) $, $ \left(4,~-4\right) $ and $ \left(3,~-9\right) $. | 4 |
| 49 | Find equation of a circle passing through points $ \left(-8,~2\right) $, $ \left(-6,~9\right) $ and $ \left(7,~4\right) $. | 4 |
| 50 | Find equation of a circle passing through points $ \left(0,~0\right) $, $ \left(3,~2\right) $ and $ \left(3,~-2\right) $. | 4 |
