Question

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

(A) 14 : 11 (B) 7 : 22 (C) 11 : 14 (D) 22 : 7 (E) None of these

Answer 1

Correct option is : (A) 14 : 11

Answer 2

The correct option is (A) 14 : 11.

Let radius of circle be r and side of a square be a.

According to the given condition,

Perimeter of a circle = Perimeter of a square

∴ 2πr = 4a

\(a = \frac{\pi r}{2} .....(i)\)

Now, \(\frac{Area\, of\, circle}{Area\, of\, square}\)