Question

7. The circumference of two circles are in the ratio 2:3. The ratio of their areas.js
(a) 2:3 (b) 4:9 (c) 9:4. (d) none of these​

Answer 1

Answer:

b) 4:9 is the correct option

Answer 2

Answer:

The ratio of the areas is 4 : 9.

Step-by-step explanation:

The circumferences of circles are in the ratio 2 : 3.

The ration of their radius is:

$\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{2}{3}\\\frac{ r_{1}}{ r_{2}}=\frac{2}{3}$

Compute the ratio of their areas as follows:

$\frac{\pi r_{1}^{2}}{\pi r_{1}^{2}}=\frac{r_{1}^{2}}{r_{1}^{2}}=(\frac{r_{1}}{r_{2}})^{2}=(\frac{2}{3})^{2}=\frac{4}{9}$

Thus, the ratio of the areas is 4 : 9.