SOLUTION: The endpoints of the diameter of a circle are (-3, 2) and (5, -6). Find the center and radius of the circle.

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Question 542460: The endpoints of the diameter of a circle are (-3, 2) and (5, -6). Find the center and radius of the circle.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The center of the circle will be the midpoint of the line segment representing the diameter
Given the two endpoints (-3,2) and (5,-6) the midpoint has coordinates
x = (-3+5)/2 = 1
y = (2-6)/2 = -2
The radius is the distance between the center and one of the endpoints:
r = sqrt((1 - -3)^2 + (-2 - 2)^2) = sqrt(16 + 16) = sqrt(32) = 4*sqrt%282%29