Q. 54.5( 14 Votes )
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
A. 22:7
B. 14:11
C. 7:22
D. 11:14
Answer :
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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