Question

Show that the area of a square A inscribed in a circle with radius r is A=2r square​

Answer 1

see below and see image.

Explanation:

"inscribed" means the four corners (vertices) of the square are on the circle.

The diagonal of the square is the diameter of the circle. Use special right triangles or pythagorean thm to find the side length of the square in terms of r. Use Area formula for a square:

A = s^2 OR s×s

see image.