If the distance covered by a body moving in a circular path of radius (r ) is equal to `2pi r`, find its displacement.

Explanation

To solve the problem, we need to understand the concepts of distance and displacement in the context of circular motion.

### Step-by-Step Solution:

1. **Understanding the Circular Path**:
- A body is moving in a circular path with a radius \( r \).
- The total distance covered when the body completes one full circle is given by the formula for the circumference of a circle, which is \( 2\pi r \).

2. **Identifying Initial and Final Positions**:
- When the body starts at a certain point on the circular path and moves around the circle to return to the same point after covering the distance \( 2\pi r \), its initial and final positions are the same.

3. **Defining Displacement**:
- Displacement is defined as the shortest distance between the initial and final positions of the body. It is a vector quantity that has both magnitude and direction.

4. **Calculating Displacement**:
- Since the initial and final positions of the body are the same (the body returns to the starting point), the shortest distance between these two points is zero.
- Therefore, the displacement is \( 0 \).

### Final Answer:
The displacement of the body after covering a distance of \( 2\pi r \) in a circular path is \( 0 \).

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