Question

(10). The area of two circles are in the ratio 9: 16. Find the ratio of their circumferences.
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Answer 1

Answer :-

Given :-

• Ratio of area of two circle = 9 : 16

To Find :-

• Ratio of circumference

Solution :-

Area of circle = $\sf \pi r^2$

$\sf \dfrac{\pi r_1^2}{\pi r_2^2} = \dfrac{9}{16}$

$\sf \dfrac{r_1}{r_2} = \sqrt{\dfrac{9}{16}}$

$\sf = \dfrac{r_1}{r_2} = \dfrac{3}{4}$

Ratio of circumference -

$\sf \dfrac{2\pi r_1 }{2\pi r_2}$

$\sf = \dfrac{r_1}{r_2}$

$\sf = \dfrac{3}{4}$

Ratio of circumference = 3 : 4