Question

A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?

X^2+y^2=8 is the answer but why?

Answer 1

In short, they are all solutions to your equation.

Explanation:

I have attached the work to your problem.

Please see the attachment below. I clarified as much as possible and included all explanations/work.

I hope this helps.