# An athlete completes one round of a circular track of a diameter of 200m in 40s. What will be the distance covered and the displacement at the end of 2 min 20s?

**Distance** is defined as a complete path traveled by an object. **Displacement **is defined as the shortest distance between two points

## Answer: Distance covered by the athlete to complete a circular track of a diameter 200m at the end of 2 min 20 seconds is 2200m or 22km and displacement is 200 m

Let's understand the given problem

## Explanation:

Given : Diameter of circular track = 200 m

Radius 'r' = 200/2 = 100 m

Time taken by the athlete to complete one round of circular track = 40 seconds

Now,

Time = 2 min 20s = 2 × 60 + 20 = 140 seconds (Since, 1 minute = 60 seconds)

Number of rounds covered by the athlete = Total time / Time taken to complete one round

= 140/40 = 3.5

Circumference of a circle = 2πr

Distance covered in 1 round = Circumference of the circular track

Thus, circumference of the circular track = 2 × 22/7 × 100

Distance traveled in 140 seconds = Number of rounds covered × Circumference of the track

= 3.5 × 2 × 22/7 × 100

= 0.5 × 2 × 22 × 100

Thus, Distance covered = 2200m

Now, to calculate the displacement let's look into the below diagram

Let the athlete start from point A and reache point B after 140s

Thus, the displacement will be equal to the length of the line segment AB

Lebgth of AB = Diameter of the circle = 200m

Thus, Displacement of the athlete is 220m