Question

17. 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 1

Answer:

B) 14:11

Explanation:

Perimeter of circle = Perimeter of square

2 pi r = 4a

r = 4a/2pi

r = 2a/pi

Area of square = a^2

Area of circle = pi r^2 = pi * (2a/pi)^2

= pi* 4* a^2 / pi*pi

= 4 a^2 / pi = 4 a^2 / (22/7)

= 14a^2 / 11

Area of circle / Area of square = (14a^2/11) / a^2

= 14:11