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

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Ratio of circumferences of two circles with radius r1 and r2 respectively 

\(\frac{2πr_1}{2πr_2}\) = \(\frac{2}3\)

\(\frac{r_1}{r_2}\) = \(\frac{2}3\)

Ratio of area = \(\frac{πr_1^2}{πr_2^2}\) = \(\frac{r_1^2}{r_2^2}\) = \(\frac{2^2}{3^2}\) = \(\frac{4}{9}\) = 4:9

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