If a square is inscribed in a circle . What is the ratio of the area of circle and square

If a square is inscribed in a circle . What is the ratio of the area o

1.	If a square is inscribed in a circle . What is the ratio of the area of circle and square
Answer» If a square is inscribed in a circle, then the diagonals of the square are diameters of the circle.Let the diagonal of the square be d cm.Thus, we have:Radius, r = d/2 cmArea of the circle = πr2 = π(d2/4)cm2We know:d = 2× √\xa0\xa0Side⇒Side=d/√2 cmArea of the square = (Side)2=(d/√2)2=(d2/2)cm2Ratio of the area of the circle to that of the square :=πd2/4 / d2/2 = π/2Thus, the ratio of the area of the circle to that of the square is π:2