SOLUTION: find the centre of a circle passing through the points (6,-6) (3,-7) (3,3). also find the radius.

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Question 847569: find the centre of a circle passing through the points (6,-6) (3,-7) (3,3). also find the radius.
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

(6,-6) (3,-7) (3,3). 

(3,-7) (3,3)  ⇒ x = 3   and as -7 + 3 = 10, c = 5

%28x-3%29%5E2+%2B+%28y%2Bb%29%5E2+=+5%5E2 ⇒ +b+=+-2    as 3-(-2) = 5

%28x-3%29%5E2+%2B+%28y%2B2%29%5E2+=+5%5E2

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
A circle that passes through both (3,-7) (3,3) has a diameter of 10 (7+3), radius of 5 and centre at (3, -2) since -7+5=-2 and 3-5=-2
(x-3)^2+(y+2)^2 = 25