SOLUTION: Write an equation for the circle with the endpoints of the diameter at (-6,4) and (4,8)

Question 751709: Write an equation for the circle with the endpoints of the diameter at (-6,4) and (4,8)
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
First, get the length of the diameter by computing the
distance between the points (-6, 4) and (4, 8).
Using the distance formula:
d =
=
=
The length of the radius is half the length of the diameter.
r = = .
Next, we get the coordinates of the center of the circle by
computing the midpoint of the diameter with endpoints (-6,4) and (4,8).
Using the midpoint formula:
center = (, )
= (-1, 6)
The equation of the circle with center (h,k) and radius r is
, the center is (h,k) = (-1,6) and radius, r =
Equation:

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