Question

The diameter of the wheel of a tractor is 2.1m. If the wheel completes 250 revolutions, find the distance covered by the wheel.

1) 1.75km
2) 1.60km
3) 1.55km
4) 1.65km

Answer 1

the circumference of the wheel = πd

= 3.14*2.1 = 6.594 m

distance covered by the wheel= 250*6.594

= 1648.5 m =1.648km = 1.65 km

answer==> 4) 1.65 km

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Answer 2

Given :

The diameter of the wheel of a tractor is 2.1m.

To Find :

If the wheel completes 250 revolutions, find the distance covered by the wheel.

Solution:

Diameter of wheel = 2.1 m

Radius of wheel = $\frac{Diameter}{2}=\frac{2.1}{2}=1.05 m$

Circumference of wheel = $2 \pi r = 2 \times \frac{22}{7} \times 1.05 =6.6 m$

Distance covered in 1 revolution = 6.6 m

Distance covered in 250 revolutions = $6.6 \times 250 =1650 m$

1000 m = 1 km

1650 m = $\frac{1650}{1000}=1.65 km$

Hence the distance covered by the wheel is 1.65 km