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Mathematics

A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

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Answer

Given,

Distance covered = 88 km = 88000 m

Number of revolutions = 1000

We know that,

Distance in one revolution = Circumference of wheel

C = 2πr

Circumference = Total distanceNumber of revolutions\dfrac{\text{Total distance}}{\text{Number of revolutions}}

= 880001000\dfrac{88000}{1000} = 88

So, 2πr = 88

⇒ 2 × 227\dfrac{22}{7} × r = 88

⇒ r = 88×744\dfrac{88 × 7}{44}

⇒ r = 2 × 7 = 14 m.

Hence, radius of the wheel = 14 m.

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