Question

A cyclist moves from a certain point X and moves around a circular path of radius R. if the
cist reaches a point Z' as shown in Figure then the distance travelled and magnitude of
displacement of cyclist are

Answer 1

Distance = arc(XZ)

               = 1/4 * 2 * π * r

               =  π * r /2

               = πr / 2 units

Displacement = XZ = $\sqrt{r^{2} + r^{2}$ = $\sqrt{2r^{2} }$  = $\sqrt{2}$r units