Question

The ratio of the radii of two wheels is 4:5 find the ratio of their circumstance

Answer 1

$\large\underline{\fcolorbox{green}{pink}{Given:}}$

• Ratio of Radia of two wheels $\sf{\:(R_1:R_2)}$ = 4 : 5

$\large\underline{\fcolorbox{green}{pink}{To\:Find:}}$

• Ratio of their Circumference $\sf{(C_1:C_2)}$ = ?

$\large\underline{\fcolorbox{green}{pink}{Formula\:Used:}}$

${\boxed{\sf \red{Circumference\:of\: Circle\: (C)=2πr} }}$

$\large\underline{\fcolorbox{green}{pink}{Solution:}}$

$\implies{\sf \dfrac{C_1}{C_2}=\dfrac{2πR_1}{2πR_2}}$

$\implies{\sf \dfrac{C_1}{C_2}=\dfrac{2π×4}{2π×5} }$

$\implies{\sf \dfrac{C_1}{C_2}=\dfrac{4}{5}}$

$\large\underline{\fcolorbox{green}{pink}{Answer:}}$

⛬ Ratio of Circumference is 4:5