Question

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

(a) 13 : 22

(b) 14 : 11

(c) 22 : 13

(d) 11 : 14

Answer 1

We have given that perimeter of circle of radius r is equal to square of side a.

perimeter of the circle = perimeter of the square

Now we will substitute value of r in the following equation

Substituting we get,

Hence, ratio of the areas of the circle and square is.

Therefore, the correct answer is (b).