SOLUTION: The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. Write the equation of the circle in standard form.

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Question 374223: The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. Write the equation of the circle in standard form.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The center of the circle should be midpoints of the two given points: ((-2 + 4)/2, (4+2)/2) = (1, 3). The radius is sqrt%28%28-2-1%29%5E2+%2B+%284-3%29%5E2%29+=+sqrt%2810%29. The center-radius form of the circle is then %28x-1%29%5E2+%2B+%28y-3%29%5E2+=+10.