SOLUTION: Find an equation of the circle whose diameter has endpoints 5,6 and -3, -4 .

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Question 1106860: Find an equation of the circle whose diameter has endpoints
5,6 and -3, -4
.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
One diameter is two radii.

%285-%28-3%29%29%5E2%2B%286-%28-4%29%29%5E2
8%5E2%2B10%5E2
164------the diameter squared
-
%282r%29%5E2=164

4r%5E2=164
r%5E2=164%2F4
r%5E2=41

Center of circle is midpoint of the two given diameter endpoints.
x=%285-3%29%2F2=1
and
%286-4%29%2F2=2%2F2=1
-
center (1,1).

EQUATION OF CIRCLE: highlight%28%28x-1%29%5E2%2B%28y-1%29%5E2=41%29