Question

the radii of two circle are in ratio 2:3 what is. the ratio of their circumference

Answer 1

let radii be2x and3x
their2π2x/2π3x=2:3

Answer 2

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• The radii of two circles are the ratio 2:3 .

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• The ratio of their circumferences = ?

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• Let the radius of 1st circle, $\sf{r_1}$ = 2k
• And the radius of 2nd circle, $\sf{r_2}$ = 3k

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

$\sf Ratio \: of \: their \: circumferences = \dfrac{\cancel{2\pi} \: r_1}{\cancel{2\pi}\: r_2} \\ \\ \sf Ratio \: of \: their \: circumferences = \dfrac{r_1}{r_2} \\ \\ \sf Ratio \: of \: their \: circumferences = \dfrac{2 \: \cancel{k}}{3 \: \cancel{k}} \\ \\ \sf Ratio \: of \: their \: circumferences = \dfrac{2}{3} \\ \\ \sf Ratio \: of \: their \: circumferences = \: \large{\boxed{\bf\green{2 : 3 }}}$

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$\underline{\underline{\underline{\underline{\mathfrak{\pink{ \:\:\: AnswEr:-\:\:\:}}}}}}$

• The ratio of their circumferences is 2:3 .