To find the distance covered by a particle moving along a circular path, we can use the relationship between angular displacement and arc length. Here's how to do it step-by-step.

1. Understanding Angular Displacement
- Angular displacement is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis.
- In this case, the angular displacement is given as 35°.

2. Convert Degrees to Radians
- To use the formula for arc length, we first convert degrees to radians.
- The conversion formula is:
\[
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
\]
- Therefore, for 35°:
\[
\text{Radians} = 35 \times \frac{\pi}{180} \approx 0.6109 \text{ radians}
\]

3. Arc Length Formula
- The distance covered (arc length) can be calculated using the formula:
\[
\text{Arc Length (s)} = r \times \theta
\]
where:
- \( r \) = radius of the circular path (14 m)
- \( \theta \) = angular displacement in radians (approximately 0.6109 radians)

4. Calculating the Distance Covered
- Substituting the values into the formula:
\[
s = 14 \, \text{m} \times 0.6109 \approx 8.54 \, \text{m}
\]

5. Conclusion
- The distance covered by the particle along the circular path is approximately **8.54 meters**.
This clear step-by-step process illustrates how to calculate the distance covered by a particle undergoing angular displacement on a circular path.