$x^{2} - 4x + y^{2} - 8y - 80 = 0$ In the $xy$-plane, the graph of th…

Question

Prompt

x^{2} - 4 x + y^{2} - 8 y - 80 = 0

In the

x y

-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?