Question

find the equation of the circle given the endpoints of the diameter (3,-5) and (-7,3). write the equation in center-radius form.

Answer 1

Explanation:

Halfway from x = -7 and x= 3 is --2, Similarly, y is -1. The center is at (-2, -1). The radius is the distance from the center to one of the diameter endpoints: sqrt ( 5 squared plus 4 squared ), or sqrt(41).

The equation of the circle is

(x + 1) squared plus (y + 1) squared = 41