Find the ratio of the areas of the incircle and circumcircle of a square.
Let the side of the square be x.
Then, its diagonal = √x
Radius of incircle = x2
AO is the radius of cicum circle but it is also hypotnuse of an isoscles triangle with side x2.
So,radius of circum circle= √ x x2 = x√
Required ratio = πx24 : πx22 = 14 : 12 = 1 : 2