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

Given that

Diameter of circular track = 200 m

Radius, r = 200/2 = 100 m

Time is taken by an athlete to complete one round = 40 seconds.

We have to find

Distance covered = ??

Displacement = ??

Formula to be used :-

Speed = Distance/Time

Circumference of circle = 2πr

Solution :-

2 min 20 seconds = 140 seconds

Number of rounds = 140/4 = 35

= Distance covered = 35 × circumference

= Distance covered = 35 × 2 × 22/7 × 100

= Distance covered = 5 × 2 × 22 × 100

= Distance covered = 22000 m

Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km.

And displacement is 200 m as it returns to the initial position

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