Question

The circumference of two circles are in the ratio 8 : 6. Find the ratio of their areas.​

Answer 1

Answer:

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Step-by-step explanation:

Let the radii of two circles be r

r1 and r2

Then, according to question, we have

2πr1 / 2πr2 = 8/6

⇒ r1 / r2 = 8/6

Squaring both the sides, we get,

r1^2 / r2^2 = 8^2 / 6^2

⇒ πr1^2 / πr2^2 = 64 / 36

So, the ratio of the areas of two circles is 64:36

Answer 2

Answer:

Let the radii of two circles be 1 and r2,

Then, according to question, we have

$\bold\frac{2\pi \:r1}{2\pi \:r2 }=\frac{2}{3}$

$\implies\sf \frac{r1}{r2} =\frac{2}{3}$

Squaring both the sides, we get,

$\implies\sf \frac{r^{2}1 }{r^{2}2 } =\frac{4}{9}$

$\implies\sf \frac{\pi r^{2}1 }{\pi r^{2} 2} =\frac{4}{9}$

 So, the ratio of the areas of two circles is

Step-by-step explanation: