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
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