SOLUTION: Find the equation of the circle which passes through the points (1,-2), (5,4) & (10,5). If possible please use the substitution process.

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Question 1021432: Find the equation of the circle which passes through the points (1,-2), (5,4) & (10,5). If possible please use the substitution process.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the circle which passes through the points (1,-2), (5,4) & (10,5).
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Label the points.
Find the equation of the circle which passes through the points A(1,-2), B(5,4) & C(10,5).
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Find the perpendicular bisectors of AB and BC.
Then find the intersection of the bisectors. That's the center of the circle.
Call it (h,k)
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The distance from the center to any point A, B OR C, is the radius.
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%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2 is the circle.