Circle form 3 points

(the database of solved problems)

All the problems and solutions shown below were generated using the Three points circle calculator.

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ID	Problem	Count
1	Find equation of a circle passing through points $A = (1, 30)$ , $B = (2, 40)$ and $C = (4, 48)$ .	117
2	Find equation of a circle passing through points $A = (2, 0)$ , $B = (4, 1)$ and $C = (- 1, 3)$ .	25
3	Find equation of a circle passing through points $A = (- 2, 6)$ , $B = (- 1, 5)$ and $C = (- 7, 1)$ .	20
4	Find equation of a circle passing through points $(100, 55)$ , $(105, 0)$ and $(100, - 55)$ .	19
5	Find equation of a circle passing through points $A = (- 18, - 5)$ , $B = (- 7, - 16)$ and $C = (4, - 5)$ .	16
6	Find equation of a circle passing through points $(21, 29)$ , $(- 29, 20)$ and $(35, - 5)$ .	13
7	Find equation of a circle passing through points $A = (0, 0)$ , $B = (6, 0)$ and $C = (- 6, - 36)$ .	12
8	Find equation of a circle passing through points $A = (4, 2)$ , $B = (1, 1)$ and $C = (3, 5)$ .	11
9	Find equation of a circle passing through points $(1, 3)$ , $(- 2, 6)$ and $(4, 2)$ .	10
10	Find equation of a circle passing through points $A = (- 2, 0)$ , $B = (2, 4)$ and $C = (0, 4)$ .	10
11	Find equation of a circle passing through points $A = (2, 3)$ , $B = (8, 7)$ and $C = (4, 9)$ .	9
12	Find equation of a circle passing through points $A = (4, 4)$ , $B = (4, - 4)$ and $C = (- 4, 0)$ .	9
13	Find equation of a circle passing through points $A = (- \frac{1}{4}, \frac{33}{1000})$ , $B = (0, 0)$ and $C = (\frac{1}{4}, \frac{33}{1000})$ .	9
14	Find equation of a circle passing through points $(1, - 2)$ , $(5, 4)$ and $(10, 5)$ .	8
15	Find equation of a circle passing through points $A = (\frac{524207}{10000}, 8.2831)$ , $B = (\frac{5193749}{100000}, 6.6432)$ and $C = (\frac{5090157}{100000}, 6.7343)$ .	7
16	Find equation of a circle passing through points $A = (3, 1)$ , $B = (5, 3)$ and $C = (- 3, - 1)$ .	7
17	Find equation of a circle passing through points $(- 1, 3)$ , $(- 4, 6)$ and $(2, 2)$ .	7
18	Find equation of a circle passing through points $(4, 2)$ , $(- 4, 6)$ and $(- 1, 7)$ .	7
19	Find equation of a circle passing through points $(0, 0)$ , $(10, 6)$ and $(30, 9)$ .	7
20	Find equation of a circle passing through points $A = (0, 0)$ , $B = (0, \frac{637}{5000})$ and $C = (\frac{441}{2000}, \frac{637}{5000})$ .	7
21	Find equation of a circle passing through points $A = (0, 0)$ , $B = (0, \frac{1353}{10000})$ and $C = (\frac{1079}{5000}, \frac{1353}{10000})$ .	7
22	Find equation of a circle passing through points $A = (1, 0)$ , $B = (6, 2)$ and $C = (1, 8)$ .	7
23	Find equation of a circle passing through points $A = (0, - 29)$ , $B = (22, 15)$ and $C = (22, - 25)$ .	6
24	Find equation of a circle passing through points $A = (1, - 1)$ , $B = (5, 11)$ and $C = (9, 7)$ .	6
25	Find equation of a circle passing through points $A = (4, 2)$ , $B = (6, 1)$ and $C = (- 12, 2)$ .	6
26	Find equation of a circle passing through points $A = (4, - 4)$ , $B = (2, - 8)$ and $C = (- 5, - 1)$ .	6
27	Find equation of a circle passing through points $(1, 1)$ , $(2, 4)$ and $(5, 3)$ .	5
28	Find equation of a circle passing through points $A = (1, - 1)$ , $B = (7, - 3)$ and $C = (4, 3)$ .	5
29	Find equation of a circle passing through points $(- 2, 0)$ , $(0, 0)$ and $(- 2, 2)$ .	5
30	Find equation of a circle passing through points $(- 1, - 4)$ , $(3, - 2)$ and $(5, 2)$ .	5
31	Find equation of a circle passing through points $(0, 2)$ , $(3, 0)$ and $(3, 2)$ .	5
32	Find equation of a circle passing through points $(100, 55)$ , $(105, 7)$ and $(100, - 55)$ .	5
33	Find equation of a circle passing through points $A = (2, 3)$ , $B = (4, 9)$ and $C = (8, 7)$ .	5
34	Find equation of a circle passing through points $(1, 1)$ , $(2, 2)$ and $(3, 3)$ .	5
35	Find equation of a circle passing through points $(3, 2)$ , $(- 3, - 22)$ and $(18, - 23)$ .	5
36	Find equation of a circle passing through points $(2, 1)$ , $(0, 5)$ and $(- 1, 2)$ .	5
37	Find equation of a circle passing through points $(1, 2)$ , $(3, 4)$ and $(5, 6)$ .	5
38	Find equation of a circle passing through points $A = (2, 3)$ , $B = (6, 1)$ and $C = (4, - 3)$ .	5
39	Find equation of a circle passing through points $A = (- 6, 5)$ , $B = (- 3, - 4)$ and $C = (2, 1)$ .	5
40	Find equation of a circle passing through points $A = (0, 3)$ , $B = (4, 2)$ and $C = (- 7, - 2)$ .	4
41	Find equation of a circle passing through points $(- 6, - 1)$ , $(- 1, 1)$ and $(4, - 1)$ .	4
42	Find equation of a circle passing through points $A = (1, 2)$ , $B = (3, 1)$ and $C = (- 3, - 1)$ .	4
43	Find equation of a circle passing through points $A = (10, 2)$ , $B = (3, 9)$ and $C = (- 2, 10)$ .	4
44	Find equation of a circle passing through points $A = (1, 1)$ , $B = (2, 2)$ and $C = (- 1, 3)$ .	4
45	Find equation of a circle passing through points $(0, 0)$ , $(4, 2)$ and $(4, - 2)$ .	4
46	Find equation of a circle passing through points $A = (2, - 2)$ , $B = (10, - 8)$ and $C = (7, 1)$ .	4
47	Find equation of a circle passing through points $(2, 1)$ , $(0, 1)$ and $(3, 0)$ .	4
48	Find equation of a circle passing through points $(- 1, 5)$ , $(7, 1)$ and $(5, - 3)$ .	4
49	Find equation of a circle passing through points $(0, 0)$ , $(3, 2)$ and $(3, - 2)$ .	4
50	Find equation of a circle passing through points $(3, 4)$ , $(7, 2)$ and $(5, - 2)$ .	4