Question

in making 1000 revolutions, a wheel covers 88km. the diameter of the wheel is?

Answer 1

Circumference of wheel * number of revolution= distance travelled
So
2πr*1000=88000m
2πr=88m
r=88/2π
=14m
So diameter will be 2*radius=2*14=28m

Answer 2

Given:

Number of revolutions made by the wheel= 1000

Total distance covered by the wheel= 88km

To find:

Diameter of the wheel

Solution:

We can find the answer by following the given process-

We know that the total distance covered by the wheel in one revolution is equal to its circumference.

Let the radius of the wheel be R.

So, the circumference of the wheel= 2πR

The total distance covered by the wheel in 1000 revolutions= 1000× circumference of the wheel

=1000× 2πR

=2000πR

We are given that the distance covered by the wheel is 88km i.e., 88,000m.

This implies that

2000πR=88000

πR= 44

Substituting the value of π, we get

22R/7= 44

R= 14m

The diameter of the wheel= 2R

= 2×14

=28m

Therefore, the diameter of the wheel is 28m.