+130558
Here's a graph of a possible orientation........https://www.desmos.com/calculator/k0yljiphsh
The center of this square will be at the origin.......and the diagonals of the square will lie on the lines y = x and y = -x. And finding the intersections of these lines with these circles wil give us the vertices of the square.
And the four vertices of the square will be located at:
(5(√7 - 1)/2, 5(√7 - 1)/2), (5(√7 - 1)/2, - 5(√7 - 1)/2), (-5(√7 - 1)/2, - 5(√7 - 1)/2), (-5(√7 - 1)/2, 5(√7 - 1)/2)
And the area will be ( 5(√7 - 1))^2 = about 67.712 sq units
