Question

Find the distance and displacement when a person completes three and a half rounds in a circular field of radius 6 m.​

Answer 1

Answer:

Distance covered = 131.88 m

Displacement = 12 m

Explanation:

As per the provided information in the given question, we have :

• A person completes three and a half rounds in a circular field of radius 6 m.

We are asked to calculate the distance travelled and the displacement.

He completes 3 and half rounds that means,

→ Total rounds covered by him = (3 + 0.5) rounds

→ Total rounds covered by him = 3.5 rounds

In order to calculate the distance covered by him in 3.5 rounds, we need to calculate the distance travelled by him in 1 round first.

Distance covered by him in one round will be equal to circumference of the circle.

→ Distance covered in 1 round = Circumference

→ Distance covered in 1 round = 2πr

→ Distance covered in 1 round = (2 × 3.14 × 6) m

→ Distance covered in 1 round = 37.68 m

Now,

→ Distance covered in 3.5 rounds = Distance covered in one round × 3.5

→ Distance covered in 3.5 rounds = (37.68 × 3.5) m

→ Distance covered in 3.5 rounds = 131.88

Therefore, total distance covered is 131.88 m.

Now, we have to find the displacement. Suppose the body starts from point A. After 3 rounds, he'll come back to its position again. Then he'll cover half rounds for in order to complete 3.5 rounds. So, he'll come to point A.

Displacement is the shortest distance from initial to final position. The shortest distance from one point to another point is always a straight line. Here, AB or diameter is the shortest distance from A to B. Thus, AB is the displacement.

→ AB = Diameter

→ AB = 2 × Radius

→ AB = 2 × 6 m

→ AB = 12 m

Therefore, displacement is 12 m.

Answer 2

Answer:

12 m

Explanation:

hope it helps you...