Find an equation of the circle that satisfies the given conditions.
Center (−3, 5); passes through (−6, −8)
The distance from the center (-3,5) to the point (-6, -8) is the radius of the circle
r = sqrt ((-3 - -6)2+(5- -8)2= sqrt 3^2 + 13^2) = 13.34
(x-h) ^2 + (y-k)^2 = r^2
(x+3)^2 + (y -5)^2 = 13.34^2
(x+3)^2 + (y-5)^2 = 178