Question

A body cover a distance of x metres along a semicircular path calculate the magnitude of displacement of the body and the ratio of
distance to displacement

Answer 1

Distance traveled is semi-circle or $\frac{1}{2}$ of a circle.
This means that distance is equal to half of circumference of a circle.
=> Distance = $\frac{1}{2}$ × 2 π r = π r
Displacement = diameter of circle = 2r

Now, ratio = $\frac{Distance}{Displacement}$
=> $\frac{πr}{2r}$ = $\frac{π}{2}$ = π : 2

Answer 2

Distance traveled is semi-circle or  of a circle.


=> Distance =  × 2 π r = π r
Displacement = diameter of circle = 2r

Now, ratio = 

=>  =  = π : 2