SOLUTION: Determine the equation of the circle which passes through the points (-3,2), (4,1) and (6,5) Can you please help me out thanks so much in advance:) May you also please show the

Algebra ->  Circles -> SOLUTION: Determine the equation of the circle which passes through the points (-3,2), (4,1) and (6,5) Can you please help me out thanks so much in advance:) May you also please show the      Log On


   



Question 798176: Determine the equation of the circle which passes through the points (-3,2), (4,1) and (6,5)
Can you please help me out thanks so much in advance:)
May you also please show the work :)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation of the circle which passes through the points (-3,2), (4,1) and (6,5)
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Label the points
A(-3,2), B(4,1) and C(6,5)
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Find the perpendicular bisectors of 2 of the 3, AB, AC and BC
The intersection of the 2 bisectors is the center of the circle, call it (h,k)
The distance from (h,k) to any of the 3 points is the radius.
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The circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
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email via the TY note for help, or to check your work.