**Given Information:**

- The athlete completes one round of a circular track of radius 10m in 40 seconds.

**To Find:**

- The distance covered by the athlete in 2 minutes 20 seconds.

**Solution:**

To find the distance covered by the athlete in 2 minutes 20 seconds, we need to convert the time into seconds.

2 minutes = 2 * 60 = 120 seconds

2 minutes 20 seconds = 120 + 20 = 140 seconds

Now, we need to find the distance covered in 140 seconds.

**Calculating Distance Covered:**

The distance covered by the athlete in one round of a circular track is equal to the circumference of the track.

The formula for the circumference of a circle is given by:

Circumference = 2 * π * radius

In this case, the radius of the track is 10m, so the circumference is:

Circumference = 2 * π * 10 = 20π

Therefore, the distance covered in one round is 20π meters.

To find the distance covered in 140 seconds, we can use the formula:

Distance = (time / time taken for one round) * distance covered in one round

Substituting the values:

Distance = (140 / 40) * 20π

Simplifying further:

Distance = 3.5 * 20π = 70π

Since the value of π is approximately 3.14, we can approximate the distance:

Distance ≈ 70 * 3.14 = 219.8 meters

**Answer:**

Therefore, the distance covered by the athlete in 2 minutes 20 seconds is approximately 219.8 meters. Rounding it to the nearest whole number, the distance covered is 220 meters.

Hence, the correct option is c) 220m.