If $\pi=\frac{22}{7}$, then find the distance covered in a revolution $( in\ m)$ of a wheel of diameter $35\ cm$.

Given: Diameter of a wheel is $35\ cm$ and value of $\pi$ to be taken is $\frac{22}{7}$.

To do: To find the distance covered in a revolution $( in\ m)$ of the wheel.

Solution: 

As given, Diameter of the wheel, $d=35\ cm$

$\Rightarrow$ Radius of the wheel $r=\frac{35}{2}$

$\therefore$ Distance covered in one revolution by the wheel$=$ Circumference of the wheel

$=2\pi r$

$=2\times\frac{22}{7}\times\frac{35}{2}$

$=110\ cm$

$=\frac{110}{100}=1.1\ m$ 

Thus, the distance covered in a revolution of the wheel is $1.1\ m$.

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Updated on: 10-Oct-2022

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