Question

The ratio of areas of 2 circles is 25: 36 then the ratio of their circumference is

Answer 1

Ratio of areas i.e., πr²:πR² = 25:36, where r&R are there radius of the given circles.

$\frac{\pi \: {r}^{2} }{\pi \: {R}^{2} } = \frac{25}{36} \\ \frac{ {r}^{2} }{{R}^{2} } = \frac{25}{36} \\ \frac{r}{R} = \frac{5}{6}$

Ratio of circumference is given by,

$\frac{2\pi \: r}{2\pi \: R} = \frac{r}{R} = \frac{5}{6}$

Hence, ratio of circumference of given circles is 5:6.