If the circumference of a circle is equal to the perimeter of a square what is the ratio of th...........

Quantitative Aptitude ( CCS) Mensuration 2D

If the circumference of a circle is equal to the perimeter of a square, what is the ratio of the area of the circle to the area of the square?

22:7

14:11

11:7

4:1

Circumference of a Circle = 2*Pi*R

Perimeter of a Square = 4a

A.T.Q :-

2*Pi*R = 4a => a = Pi*R/2

Required Ratio = Area of Circle/Area of a Square = Pi*R² / a²

=> Pi*R² / [Pi*R/2]²

=> 14 :11 [ ByTaking Pi = 22/7]

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