SOLUTION: Find the equation for the circle with a diameter whose endpoints are (−2,4) and (5,−5).

Algebra ->  Graphs -> SOLUTION: Find the equation for the circle with a diameter whose endpoints are (−2,4) and (5,−5).      Log On


   

Question 896157: Find the equation for the circle with a diameter whose endpoints are
(−2,4) and (5,−5).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The center is the midpoint of those endpoints.
x=%28-2%2B5%29%2F2=3%2F2
and
y=%284-5%29%2F2=-1%2F2
The center of the circle is (3/2,-1/2).

The value of the diameter is sqrt%28%28-2-5%29%5E2%2B%284-%28-5%29%29%5E2%29
sqrt%2849%2B81%29
sqrt%28130%29, the diameter.
The RADIUS is (1/2)sqrt(130)
and the square of this is 130%2F4=32%261%2F2.

CIRCLE: highlight%28%28x-3%2F2%29%5E2%2B%28y%2B1%2F2%29%5E2=32%261%2F2%29