Question

the ratio of circumference of two circle is 6:5 find the ratio of their areas​

Answer 1

Answer:36:25

pls refer my attachment:

hope it helps...

pls mark me as the brainliest...

Answer 2

Answer:

$\large\boxed{\sf{36:25}}$

Step-by-step explanation:

Let's assume that the radii of both the circles is r and R respectively.

We know that,

Circumference of a circle = 2πr

Now, The ratio of circumference = 6:5

$= > \dfrac{2\pi r}{2\pi R} = \dfrac{6}{5} \\ \\ = > \frac{r}{R} = \frac{6}{5} \: \: \: \: \: \: ........(1)$

Now, we have to find the ratio of their areas.

We know that,

Area of a circle = $\pi {r}^{2}$

Therefore, we will get,

=> Ratio = $\dfrac{\pi {r}^{2}}{\pi {R}^{2}}$

=> Ratio = $\dfrac{{r}^{2}}{{R}^{2}}$

=> Ratio = ${(\dfrac{r}{R})}^{2}$

Substituting the value from eqn (1), we get

=> Ratio = ${(\dfrac{6}{5})}^{2}$

=> Ratio = $\dfrac{36}{25}$

Hence, the ratio of their area is 36:25.