Q5 of 59 Page 120

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

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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