Find the center and radius of the circle with equation (x + 3) ^2 + (y + 6) ^2 = 16

Center: (-3,-6)

Radius: 4

The center is at (h, k) : (-3, - 6) and the radius is r = 4.

Step-by-step explanation:

Compare the given (x + 3) ^2 + (y + 6) ^2 = 16 with the standard equation of a circle (x - h) ^2 + (y - k) ^2 = r^2.

We can see immediately that h must be - 3, k must be - 6 and r must be 4.

The center is at (h, k) : (-3, - 6) and the radius is r = 4.