Displacement of a person moving from A to B along a semicircular path of radius R is 100 m
What is the distance traveled by him ?
The answer is 157 m?

Question

Displacement of a person moving from A to B along a semicircular path of radius R is 100 m What is the distance traveled by him ? The answer is 157 m?

Answer

Explanation:

Given:
- Radius of the semicircular path, R = 100 m
- Displacement from A to B = 100 m

Distance Traveled:

The distance traveled by the person along a semicircular path can be calculated by finding the circumference of the semicircle.
Since a semicircle is half of a full circle, the circumference of a semicircle is given by the formula: Circumference = π * Diameter / 2.
Here, the diameter of the semicircle is equal to the radius of the semicircle multiplied by 2, so the formula can be simplified to: Circumference = π * 2 * R / 2 = π * R.
Substitute the value of R (radius) into the formula to find the circumference of the semicircle: Circumference = π * 100 = 100π m.
Therefore, the distance traveled by the person along the semicircular path is equal to the circumference of the semicircle, which is approximately 100π m or approximately 314.16 m.

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