# If the perimeter of a circle is equal to that of a square, then the ratio of their areas isA. 22:7B. 14:11C. 7:22D. 11:14

Let r be the radius of the circle and a be the side of the square.

We are given that Perimeter of a circle = Perimeter of a square

2πr = 4a

a = πr/2

Area of the circle = r2 and Area of the square = a2

Now, Ratio of their areas = (Area of circle)/(Area of square)

=

= 4/π = [4/(22/7)] = 14/11

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