SOLUTION: can you please help me find the center and radius of a circle that has a diameter with endpoints (-11,-8) and (-3,-2)

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Question 386513: can you please help me find the center and radius of a circle that has a diameter with endpoints (-11,-8) and (-3,-2)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula to find the center, (h,k)
h=%28x%5B1%5D%2Bx%5B2%5D%29%2F2=%28-11-3%29%2F2
k=%28y%5B1%5D%2By%5B2%5D%29%2F2=%28-8-2%29%2F2
Use the distance formula to find the diameter, D.
D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2
D%5E2=%28-11-%28-3%29%29%5E2%2B%28-8-%28-2%29%29%5E2
D%5E2=%28-11%2B3%29%5E2%2B%28-8%2B2%29%5E2
D=sqrt%28%28-11%2B3%29%5E2%2B%28-8%2B2%29%5E2%29
.
.
.
Then plug those values into the general equation for a circle centered at (h,k) with a diameter, D:
%28x-h%29%5E2%2B%28y-k%29%5E2=D%5E2%2F4