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A bicycle wheel makes 200 revolutions in 1 km. The diameter of the wheel is

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1.59m

2.62m

1.45m

3.54m

answer is A.

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Detailed Solution

It is given a wheel, revolutions =200 and distance=1 km.
We know, circumference of a circle =

2 π R

π d

.
Let the Diameter of wheel = d.
The distance covered in 1 revolution = circumference.
Distance covered in 200 revolutions = 200

×

π d

Distance of 200 revolutions = 1 km.
We know that 1km = 1000 m.
So,

200 π d = 1000 ⇒ d = 5 π

⇒ d = 5227 ⇒ d = 3522 ⇒ d = 1.59 m

Diameter of the wheel is 1.59 m.
Therefore, the correct option is 1.

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