Match the following wheels of different sizes with the number of rotations to cover a distance of 440 m.

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Solution

The number of rotations required to cover a certain distance = $\frac{D i s t a n c e}{C i r c u m f e r e n c e o f t h e w h e e l}$ .

Circumference of a circle = 2 $π$ r = 2 $\times \frac{22}{7} \times r$ .

Hence, the number of rotations required to cover a distance of 440 m is :-

Radius (m) Circumference of wheel (m) Number of rotations

3.5 22 20

7 44 10

14 88 5

17.5 110 4

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