A road roller makes 200 rotations covering 2200 m. Find the radius of the roller.

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Solution

Here, one rotation of the road roller is equal to the circumference of the circle.

So, Distance covered in one rotation of the road roller $= \frac{2200 m}{200}$ = 11 m

11 m = Circumference of circle $= 2 π r$

Where, r = radius of the road roller

So, $2 \times \frac{22}{7} \times r = 11 m$

$\Rightarrow r = \frac{11 \times 7}{2 \times 22} = \frac{7}{4} m = 1.75 m$

So, the radius of the roller = 1.75 m

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