Question

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

Answer 1

Let’s consider the radius of two circles C₁ and C₂ be r₁ and r₂.

We know that, Circumference of a circle (C) = 2πr

And their circumference will be 2πr₁ and 2πr₂.

So, their ratio is = r₁: r₂

Given, circumference of two circles is in a ratio of 2: 3

r₁: r₂ = 2: 3

Then, the ratios of their areas is given as

= \(\frac{4}{9}\)

Hence, ratio of their areas = 4: 9.