Circle form 3 points – Solved Problems Database
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) $. | 20 |
2 | Find equation of a circle passing through points $ A=\left(0,~0\right) $, $ B=\left(6,~0\right) $ and $ C=\left(-6,~-36\right) $. | 11 |
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) $. | 8 |
4 | 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 |
5 | Find equation of a circle passing through points $ A=\left(4,~4\right) $, $ B=\left(4,~-4\right) $ and $ C=\left(-4,~0\right) $. | 6 |
6 | 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) $. | 6 |
7 | 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) $. | 4 |
8 | Find equation of a circle passing through points $ A=\left(-18,~-5\right) $, $ B=\left(-7,~-16\right) $ and $ C=\left(4,~-5\right) $. | 4 |
9 | Find equation of a circle passing through points $ \left(1,~3\right) $, $ \left(-2,~6\right) $ and $ \left(4,~2\right) $. | 4 |
10 | Find equation of a circle passing through points $ A=\left(2,~-2\right) $, $ B=\left(10,~-8\right) $ and $ C=\left(7,~1\right) $. | 4 |
11 | 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) $. | 4 |
12 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(8,~7\right) $ and $ C=\left(4,~9\right) $. | 3 |
13 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(4,~9\right) $ and $ C=\left(8,~7\right) $. | 3 |
14 | Find equation of a circle passing through points $ A=\left(1,~0\right) $, $ B=\left(6,~2\right) $ and $ C=\left(1,~8\right) $. | 3 |
15 | Find equation of a circle passing through points $ A=\left(-5,~0\right) $, $ B=\left(1,~-12\right) $ and $ C=\left(21,~-2\right) $. | 3 |
16 | Find equation of a circle passing through points $ A=\left(4,~2\right) $, $ B=\left(6,~1\right) $ and $ C=\left(-12,~2\right) $. | 3 |
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) $. | 3 |
18 | Find equation of a circle passing through points $ \left(-2,~0\right) $, $ \left(0,~0\right) $ and $ \left(-2,~2\right) $. | 3 |
19 | Find equation of a circle passing through points $ A=\left(-2,~6\right) $, $ B=\left(-1,~5\right) $ and $ C=\left(-7,~1\right) $. | 3 |
20 | Find equation of a circle passing through points $ \left(0,~3\right) $, $ \left(2,~4\right) $ and $ \left(1,~0\right) $. | 3 |
21 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(6,~1\right) $ and $ C=\left(4,~-3\right) $. | 3 |
22 | Find equation of a circle passing through points $ \left(2,~0\right) $, $ \left(6,~0\right) $ and $ \left(4,~2\right) $. | 3 |
23 | Find equation of a circle passing through points $ A=\left(10,~2\right) $, $ B=\left(3,~9\right) $ and $ C=\left(-2,~10\right) $. | 3 |
24 | Find equation of a circle passing through points $ A=\left(1,~-1\right) $, $ B=\left(5,~11\right) $ and $ C=\left(9,~7\right) $. | 3 |
25 | Find equation of a circle passing through points $ \left(-2,~5\right) $, $ \left(8,~5\right) $ and $ \left(-6,~9\right) $. | 3 |
26 | Find equation of a circle passing through points $ A=\left(1,~2\right) $, $ B=\left(3,~1\right) $ and $ C=\left(-3,~-1\right) $. | 3 |
27 | Find equation of a circle passing through points $ A=\left(-1,~2\right) $, $ B=\left(-3,~4\right) $ and $ C=\left(2,~-1\right) $. | 3 |
28 | Find equation of a circle passing through points $ A=\left(2,~3\right) $, $ B=\left(5,~4\right) $ and $ C=\left(3,~7\right) $. | 3 |
29 | Find equation of a circle passing through points $ A=\left(0,~3\right) $, $ B=\left(4,~2\right) $ and $ C=\left(-7,~-2\right) $. | 3 |
30 | Find equation of a circle passing through points $ \left(0,~\dfrac{ 3 }{ 50 }\right) $, $ \left(\dfrac{ 3 }{ 5 },~\dfrac{ 17 }{ 500 }\right) $ and $ \left(\dfrac{ 33 }{ 20 },~\dfrac{ 1 }{ 20 }\right) $. | 3 |
31 | Find equation of a circle passing through points $ \left(1,~2 \sqrt{ 2 }\right) $, $ \left(1,~-2 \sqrt{ 2 }\right) $ and $ \left(9,~0\right) $. | 2 |
32 | Find equation of a circle passing through points $ A=\left(0,~0\right) $, $ B=\left(10,~4\right) $ and $ C=\left(6,~12\right) $. | 2 |
33 | Find equation of a circle passing through points $ A=\left(4,~2\right) $, $ B=\left(1,~1\right) $ and $ C=\left(3,~5\right) $. | 2 |
34 | Find equation of a circle passing through points $ \left(-\dfrac{ 142613 }{ 1000 },~-\dfrac{ 131 }{ 20 }\right) $, $ \left(-\dfrac{ 29764 }{ 125 },~\dfrac{ 59227 }{ 500 }\right) $ and $ \left(-\dfrac{ 316411 }{ 1000 },~\dfrac{ 16458 }{ 125 }\right) $. | 2 |
35 | Find equation of a circle passing through points $ \left(\dfrac{ 1358 }{ 125 },~\dfrac{ 32759 }{ 500 }\right) $, $ \left(\dfrac{ 1582 }{ 125 },~\dfrac{ 76513 }{ 1000 }\right) $ and $ \left(\dfrac{ 1637 }{ 125 },~\dfrac{ 21911 }{ 250 }\right) $. | 2 |
36 | Find equation of a circle passing through points $ A=\left(1,~1\right) $, $ B=\left(1,~2\right) $ and $ C=\left(2,~3\right) $. | 2 |
37 | Find equation of a circle passing through points $ A=\left(-2626,~-13\right) $, $ B=\left(-2628,~-12\right) $ and $ C=\left(-2858,~-79\right) $. | 2 |
38 | Find equation of a circle passing through points $ A=\left(4,~5\right) $, $ B=\left(1,~8\right) $ and $ C=\left(-2,~2\right) $. | 2 |
39 | Find equation of a circle passing through points $ A=\left(-6,~5\right) $, $ B=\left(-3,~-4\right) $ and $ C=\left(2,~1\right) $. | 2 |
40 | Find equation of a circle passing through points $ A=\left(-2,~0\right) $, $ B=\left(2,~4\right) $ and $ C=\left(0,~4\right) $. | 2 |
41 | Find equation of a circle passing through points $ A=\left(1,~-1\right) $, $ B=\left(7,~-3\right) $ and $ C=\left(4,~3\right) $. | 2 |
42 | Find equation of a circle passing through points $ \left(-38,~1400\right) $, $ \left(15,~1610\right) $ and $ \left(-147,~1596\right) $. | 2 |
43 | Find equation of a circle passing through points $ \left(3,~2\right) $, $ \left(-3,~-22\right) $ and $ \left(18,~-23\right) $. | 2 |
44 | Find equation of a circle passing through points $ A=\left(9,~10\right) $, $ B=\left(7,~4\right) $ and $ C=\left(0,~0\right) $. | 2 |
45 | Find equation of a circle passing through points $ A=\left(-35,~0\right) $, $ B=\left(0,~0\right) $ and $ C=\left(35,~0\right) $. | 2 |
46 | Find equation of a circle passing through points $ A=\left(\dfrac{ 373 }{ 2 },~\dfrac{ 366 }{ 25 }\right) $, $ B=\left(\dfrac{ 553 }{ 2 },~\dfrac{ 1647 }{ 25 }\right) $ and $ C=\left(\dfrac{ 3139 }{ 10 },~\dfrac{ 552 }{ 5 }\right) $. | 2 |
47 | Find equation of a circle passing through points $ \left(0,~-14\right) $, $ \left(8,~0\right) $ and $ \left(-4,~-6\right) $. | 2 |
48 | 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) $. | 2 |
49 | Find equation of a circle passing through points $ A=\left(170,~124\right) $, $ B=\left(500,~1000\right) $ and $ C=\left(962,~309\right) $. | 2 |
50 | Find equation of a circle passing through points $ \left(8,~0\right) $, $ \left(14,~0\right) $ and $ \left(0,~3\right) $. | 2 |