Question

the radii of 2 circles are in 2:3 . what is the ratio of their circumferences

Answer 1

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Let the radius of first circle be r1
And of second circle be r2

So Radius of first circle is 2
And radius of second circle is 3

$circumference = 2\pi r$
Ratio of their circumference will be
$\frac{2\pi r1}{2\pi r2} \\ = \frac{r1}{r2} \\ = \frac{2}{3}$
Therefore, Ratio is their circumference is 2:3.

Hope it helps.