The point \((0,0)\) lies on a circle in the \(xy\)-plane. An equation…

Question

Prompt

The point

(0, 0)

lies on a circle in the

x y

-plane. An equation of this circle is

x^{2} + (y + 6)^{2} = p + 3

, where

p

is a positive constant. What is the value of

p