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A bicycle wheel makes $5, 000$ revolutions in moving $11\ km$. Find the circumference and the diameter of the wheel.
Given: A bicycle wheel makes $5, 000$ revolutions in moving $11\ km$.
To do: To find the circumference and the diameter of the wheel.
Solution:
Let the radius of the wheel be $r\ cm$.
Circumference of the circle$=$ Distance covered by the wheel in one revolution$=\frac{11}{5000}\ km$
$=\frac{11}{5000}\times1000\times100$ [$\because\ 1\ km=1000\ m$ and $1\ m=100\ cm$]
$=220\ cm$
$\Rightarrow 2\pi r=220$
$\Rightarrow 2\times \frac{22}{7}\times r=220$
$\Rightarrow r=35\ cm$
$\Rightarrow$ Diameter$=2r=70\ cm$
Thus, circumference of the wheel is $220\ cm$ and Diameter of the wheel is $70\ cm$.
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