SOLUTION: A circle has a diameter with endpoints (3, -2) and (9, -8). What is the equation of the circle?

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Question 883596: A circle has a diameter with endpoints (3, -2) and (9, -8).
What is the equation of the circle?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hints:

1) Find the center of the circle. This is the midpoint of the line segment that has the endpoints (3, -2) and (9, -8).

2) Find the distance between the two points. This distance is the diameter. Cut the diameter in half to get the radius.

3) The general equation of any circle is %28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2 where (h,k) is the center and r is the radius.