Respuesta :

AL2006
When a square (or any rectangle) is inscribed in a circle, the diagonal
of the square (or rectangle) is a diameter of the circle.

Diagonal of this square = diameter = 2 x radius = 4√2 inches.

But the diagonal of a square is the hypotenuse of the right triangle that's
formed by cutting the square in half corner-to-corner.

So  (diagonal)²  =  (side)²  +  (side)²

           2 (side)² = (diameter)²

           2 (side)²  =  (4√2)²

           2 (side)²  =  16 x 2 = 32

              (side)²  =  16

               side  =    4 inches