Diameter (d) = 200 m
Radius (r) = 100 m
Displacement is defined as the shortest distance possible between the initial position and the final position.
Since the athlete moves in circular motion displacement is zero because initial and final positions are the same.
Distance covered in 1 round = Circumference of the circle
Circumference of the circle = 2πr
where π = 22/7
The athlete completes one round in the 40s.
Distance covered in 40 sec, i.e in one round = 2 × (22/7) × 100
Distance covered in 40 sec = 628.57m……………..(1)
Distance covered in 1 sec = x m…………………….(2)
Cross multiplication of (1) and (2) gives the value of x.
x = 15.71 m
Distance covered in 2min 20 sec 0r 140 sec = 15.71 × 140
Distance covered in 2min 20 sec = 2199.4 m