**Average Speed of the Cyclist**

To calculate the average speed of the cyclist, we need to find the total distance covered and the total time taken.

**Distance Covered**
The cyclist completes half a revolution on a circular path with a radius of 120 meters. To find the distance covered, we can use the circumference formula of a circle.

Circumference of a circle = 2πr

Given the radius (r) as 120 meters, we can calculate the distance covered as follows:

Distance covered = 0.5 * 2π * 120

**Time Taken**
The question states that it takes the cyclist 2 minutes to complete half a revolution. To find the time taken, we need to convert this time into seconds since the standard unit for speed is meters per second.

Time taken = 2 minutes * 60 seconds/minute

**Average Speed**
The average speed is calculated by dividing the total distance covered by the total time taken:

Average speed = Distance covered / Time taken

Substituting the values into the formula, we get:

Average speed = (0.5 * 2π * 120) / (2 minutes * 60 seconds/minute)

Simplifying further:

Average speed = (π * 120) / (2 * 60)

Average speed = π * 120 / 120

Average speed = π

**Explanation**
The average speed of the cyclist is equal to π, which is approximately 3.14. This means that the cyclist is traveling at an average speed of 3.14 meters per second.

The circumference of a circle is directly proportional to its radius, so the distance covered by the cyclist would be directly proportional to the radius. In this case, since the radius is 120 meters, the distance covered would be half the circumference of a circle with a radius of 120 meters.

The time taken is given as 2 minutes, which is converted to 120 seconds. This time is used in the average speed calculation.

It is important to note that average speed is a scalar quantity and does not consider the direction of motion. It only provides information about the magnitude of the speed.

In conclusion, the average speed of the cyclist is π (approximately 3.14) meters per second.