Circle A in the $xy$-plane has the equation $(x + 8)^2 + (y - 8)^2 = …

Question

Prompt

Circle A in the

x y

-plane has the equation

(x + 8)^{2} + (y - 8)^{2} = 4

. Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the

x y

-plane is

(x + 8)^{2} + (y - 8)^{2} = k

, where

k

is a constant. What is the value of

k