To calculate the distance covered by Tommen during his run, we can approach it step by step.

Given:

• The track is circular with a radius of 20 meters.
• Tommen runs for 5 minutes.

Distance covered in a circular path (circumference):

The total distance around a circular path is the circumference of the circle. The formula for the circumference $C$ of a circle is:

$C = 2 \pi r$

where $r$ is the radius of the circle.

Step 1: Calculate the total circumference of the track

Substituting the value of the radius $r = 20 \, \text{m}$:

$C = 2 \pi \times 20 = 40 \pi \, \text{m}$

$C \approx 40 \times 3.1416 = 125.66 \, \text{m}$

This is the total distance around the track.

Step 2: Time and speed details

From the image, it appears Tommen completes the track in 5 minutes. Assuming he runs at a constant speed and covers one full lap:

• Time: 5 minutes = 300 seconds.
• The distance covered by Tommen would be one full lap around the track, which is the circumference of 125.66 meters.

Conclusion:

Tommen covered 125.66 meters during his 5-minute run.

Do you need more details, or do you have any questions?

Relative Questions:

1. What is the formula to find the area of a circular track?
2. How would the distance change if the radius were doubled?
3. What would be Tommen's speed in meters per second during his run?
4. How many laps would Tommen run if he continued for 15 minutes at the same speed?
5. What is the significance of using $\pi$ in circular calculations?

Tip: Always check if time and speed are constant when calculating distances over time intervals.