Question

an anthelte complete one round of a cirucular track of diameter 200m in the 40 sec. Calculate the total distance covered by anthelte in 1 round.​

Answer 1

Answer:

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

Distance covered by the athlete

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

Therefore, the 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

Answer 2

Answer:

Explanation:

Given :-

Diameter of circular track = 200 m

Radius, r = 200/2 = 100 m

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

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 = 140/40 = 3.5

⇒ Distance covered = 3.5 × circumference

⇒ Distance covered = 3.5 × 2 × 22/7 × 100

⇒ Distance covered = 5 × 2 × 22 × 100

⇒ Distance covered = 2200 m

Hence, the distance covered at the end of 2 min 20 seconds is 2200 m.

And displacement is 200 m as it return to initial position again.