Question

the circumference of two circle are in the ratio 1:3.find the ratio of their areas​

Answer 1

Answer:

Let the radius of circle be r1 and r2 then their circumference will be $2\pi r1$ : $2\pi r2$ = r1 : r2

But circumference ratio is given as 1 : 3

r1 : r2 = 1 : 3

Ratio of area =  $\pi r1^{2} : \pi r1^{2}$

= $(\frac{r1 }{r2 })^{2}$ [$\pi$is divided by and we get 1]= $(\frac{1}{3})^{2}$ = $\frac{1}{9}$ = 1: 9

Step-by-step explanation:

Answer is 1 : 9 .

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