Write an equation of the circle with center (3, - 6) and radius 5.

formula for a circle: (x-h) ^2 + (y-k) ^2 = r^2, where (h, k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3) ^2 + (y - (-6)) ^2 = r^2

2. Plug in radius value

(x-3) ^2 + (y - (-6)) ^2 = 5^2

3. Simplify:

(x-3) ^2 + (y+6) ^2 = 25