The ratio of the area of the in-circle and the circum-circle of a square is
1 : 2
√2 : 1
1 : √2
2: 1
Correct Option: A
Using Rule 14, Let the side of the square be 2x. Then radius of incircle = a Radius of circum-circle √a² + a² = √2a ∴ Ratio of area = πa² : π(√2a)² = a² : 2a² = 1 : 2
