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Question

The diameter of the wheel of a cycle is 70 cm. How far will it go in 250 revolutions?

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Solution

It may be noted that in one revolution, the cycle covers a distance equal to the circumference of the wheel.
Diameter of the wheel = 70 cm
∴ Circumference of the wheel = πd = 227×70 cm = 220 cm
Thus, the cycle covers 220 cm in one revolution.

∴ Distance covered by the cycle in 250 revolutions = (220 × 250) cm
= 55000 cm
= 550 m [since 1 m = 100 cm]

Hence, the cycle will cover 550 m in 250 revolutions.

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