In covering a distance s m, a circular wheel of radius r m makes`(s)/(2pir)` revolution. Is this statement trus ? Why ?

Explanation

To determine whether the statement "In covering a distance s m, a circular wheel of radius r m makes (s)/(2πr) revolutions" is true, we can break down the problem step by step.

### Step-by-Step Solution:

1. **Understanding the Circumference**:
- The distance covered by the wheel in one complete revolution is equal to the circumference of the circle.
- The formula for the circumference \( C \) of a circle with radius \( r \) is given by:
\[ C = 2\pi r \]

2. **Distance Covered in n Revolutions**:
- If the wheel makes \( n \) revolutions, the total distance \( D \) covered by the wheel can be expressed as:
\[ D = n \times C = n \times 2\pi r \]

3. **Setting Up the Equation**:
- According to the problem, the distance covered by the wheel is \( s \) meters. Therefore, we can set up the equation:
\[ s = n \times 2\pi r \]

4. **Solving for n**:
- Rearranging the equation to solve for \( n \), we have:
\[ n = \frac{s}{2\pi r} \]

5. **Conclusion**:
- The statement claims that in covering a distance \( s \) meters, the circular wheel makes \( \frac{s}{2\pi r} \) revolutions.
- From our calculation, we see that this is indeed true, as we derived that \( n = \frac{s}{2\pi r} \).

### Final Answer:
Yes, the statement is true. In covering a distance \( s \) meters, a circular wheel of radius \( r \) meters makes \( \frac{s}{2\pi r} \) revolutions.

---