Question

The circumference of two circles are in ratio 2:3. Find the ratio of their areas.

Answer 1

Let radius of two circles be r₁ and r₂ then their circumferences will be 2πr₁ : 2πr₂

= r₁:r₂

But circumference ratio is given as 2 : 3

r₁: r₂=2:3

Ratio of areas = πr₂²: πr₂ ²

= (r_1/ r₂)^₂

= (2/3)²

=4/9

=4:9

Therefore, ratio of areas = 4:9