Which has the greatest area, a circle or a square inscribed in an isosceles, right angle triangle?

A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.

Weekly Problem 21 - 2012 Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?

What is the area of the pentagon?

This tells you the area of the square and so the length of its sides.