A particles semicircular path of radius r. The ratio of distance trave

1.	A particles semicircular path of radius r. The ratio of distance travelled and displacement of particle will be:
Answer» Answer: Given: Particle travels semicircle ( half of a circle). To find: RATIO of distance to displacement Concept: Distance is the total path LENGTH traversed by a body. Displacement is the shortest length between starting and stopping point Calculation: For a semicircle : $\star \: \sf{distance = \dfrac{2\pi r}{2}}$ $\sf{ \star \: displacement \: = 2r}$ See the DIAGRAM to understand better . HENCE ratio : $\sf{distance \: : displacement}$ $\sf{ = \pi r : 2r}$ $\sf{ = \pi : 2}$ So final answer : $\boxed{ \bold { \red{ \sf{ ratio = \pi : 2}}}}$