The wheel of a cycle covers 660 metres by making 500 revolutions. What is the diameter of the wheel (in cm)?

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answer is A.

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Detailed Solution

Concept- First, we will calculate the distance covered during one rotation, which is represented by-

To solve, put the given values. Now, this distance will equal the circumference of the wheel, which is represented by the formula as

, where r is the radius. In order to find r, we will then equate both equations. The diameter will then be determined because we know that it is equal to twice the radius. And finally, change the m to cm.
Given that a cycle wheel covers 660 metres.
Question Image

Also, it takes 500 revolutions to cover this distance.
We also know that the formula for the distance covered by one revolution is as follows:

Putting the given values in the formula, we get

As of right now, we are familiar with the idea that a cycle wheel's circumference equals the distance it covers.
We now know that the cycle's wheel has a round form. And we are aware that the formula for the circle's circumference is

So, diameter is 0.21