Question

the ratio of the radii of two circles is 2:3 find the ratio of their circumference​

Answer 1

Given :-

• ratio of radii of two circles is 2:3

To Find :-

• find the ratio of their circumference ?

Solution :-

let the radii of two circles are 2x and 3x

and we know that,

$\boxed{\bold{circumference \: of \: circle = 2\pi r}}$

let C and c are circumference of two circles

$\bold{: \implies \frac{C}{c} = \frac{ \cancel{2\pi} \times 2x}{ \cancel{2\pi} \times 3x} } \\ \\ \bold{: \implies\frac{C}{c} = \frac{2 \cancel{x}}{3 \cancel{x}} } \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \frac{C}{c} = \frac{2}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies C :c = 2 : 3 } \: \:$

hence, ratio of their circumference is 2:3