Question

If the circumference of a circle is equal to the perimeter of a square then the ratio their areas is:

(a) 22 : 7

(b) 14 :11

(c) 7 :22

(d) 7 :11

Answer 1

It is given that circumference of a circle = perimeter of a square

We have to find the ratio of their areas

Let the radius of circle = r

Let the circumference of circle =

Let the area of circle =

Let the side of the square = b

Let the perimeter of square =

Let the area of square =

Therefore

…… (1)

Area of Circle

[From Equation (1)]

Hence Option (b) is correct.