SOLUTION: Circle with diameter which has endpoints at (-4,3 ) and (6,-8)

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Question 1081400: Circle with diameter which has endpoints at (-4,3
) and (6,-8)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the midpoint (the circle center).
x%5Bc%5D=%28-4%2B6%29%2F2=2%2F2=1
y%5Bc%5D=%283-8%29%2F2=-5%2F2
Find the diameter using the two points using the distance formula,
D%5E2=%28-4-6%29%5E2%2B%283-%28-8%29%29%5E2
D%5E2=%28-10%29%5E2%2B%2811%29%5E2
D%5E2=100%2B121
D%5E2=221
%282R%29%5E2=221
4R%5E2=221
R%5E2=221%2F4
So,
%28x-1%29%5E2%2B%28y%2B5%2F2%29%5E2=221%2F4
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