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

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

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

Answer»

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