The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.

A 84m

B 24m

C 44m

D 54m

Solution

Correct Answer: Option A

let inner radius be r meters.

\(\begin{array}{l}2\mathrm{πr}=440\Rightarrow\mathrm r=\left(440\times\frac7{44}\right)=70\mathrm m\\\mathrm{radius}\;\mathrm{of}\;\mathrm{outer}\;\mathrm{circle}\;=\left(70+14\right)\mathrm m\end{array}\)

Therefore, Radius of outer circle = 70 + 14 = 84m

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