Answer:
The equation of the circle is

Explanation:
Equation of a circle:
The equation of a circle, with center
and radius r is given by:

Distance between two points:
Suppose that we have two points,
and
. The distance between them is given by:

Diameter at the points (7,8) and (-3,6).
The diameter is the distance between these two points, so:

Radius is half the diameter, so:

So

Center:
Midpoint of the diameter, which is the mean of the coordinates. So


Then
