In the \(xy\)-plane, circle \(F\) is defined by the equation \((x + 7…

Question

Prompt

In the

x y

-plane, circle

F

is defined by the equation

(x + 7)^{2} + (y + 7)^{2} = 36

. Circle

G

has the same center as circle

F

, and the radius of circle

G

2

units greater than the radius of circle

F

. Circle

G

is defined by the equation

(x + 7)^{2} + (y + 7)^{2} = p

, where

p

is a constant. What is the value of

p