To calculate the magnitude of displacement, we need to first understand what displacement is. Displacement is the shortest distance between the initial and final position of a body. In this case, the body has covered a distance of 1 metre along a semicircular path.

To calculate the magnitude of displacement, we need to find the shortest distance between the initial and final position of the body. Since the body has covered a semicircular path, the initial and final positions will be at the two ends of the diameter of the semicircle. Therefore, the magnitude of displacement will be equal to the length of the diameter of the semicircle.

Let us assume that the radius of the semicircle is 'r'. Then, the length of the diameter will be 2r. Therefore, the magnitude of displacement will be 2r.


The ratio of distance to displacement is a measure of how much extra distance the body has covered compared to the shortest distance between the initial and final position. It is calculated as the ratio of the total distance covered by the body to the magnitude of displacement.

In this case, the body has covered a distance of 1 metre along a semicircular path. To calculate the total distance covered by the body, we need to find the circumference of the semicircle. The circumference of a circle is given by the formula 2πr, where 'r' is the radius of the circle. Since we are dealing with a semicircle, the circumference will be half of the circumference of the full circle. Therefore, the circumference of the semicircle will be πr.

Hence, the ratio of distance to displacement can be calculated as follows:

Ratio of distance to displacement = Total distance covered by body / Magnitude of displacement
= πr / 2r
= π/2

Therefore, the ratio of distance to displacement in this case is π/2. This means that the body has covered 1.57 times the shortest distance between the initial and final position.