Diagonal of square = diameter of circle = 2r cm, where r is radius of circle
Area of circle = πr2 cm2
Area of Square = 1/2 x diagonal2
= 1/2 x 4r2 = 2r2 cm
Now, ratio of the areas of the circle and the square
= πr2/2r2
= π/2
Therefore, the required ratio is π:2.