The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is :
A
1 : 2
B
1 : 4
C
1 3
D
2:3
Correct Answer: 1 : 2
Diagonal of a square = √2 × Side The ratio of area of the smaller circle to the larger circle = πr12/πr22 = {π × (a/2)2}/{π × (√2a/2)2} Here, a = Diameter of the smaller circle = 1/2 = 1:2