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Mathematics

The number of rounds that a wheel of diameter 711\dfrac{7}{11} m will make in going 4 km is :

  1. 1600

  2. 1800

  3. 1900

  4. 2000

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Answer

Given,

Diameter of wheel (d) = 711\dfrac{7}{11} m

Distance = 4 km = 4000 m.

Distance covered in 1 round = Circumference

= 2πr

= πd

= 227×711\dfrac{22}{7} × \dfrac{7}{11}

= 2 m.

Number of rounds = Total distanceDistance covered in one round\dfrac{\text{Total distance}}{\text{Distance covered in one round}}

= 40002\dfrac{4000}{2}

= 2000.

Hence, option 4 is the correct option.

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