Question

A cyclist cycles along a circular path of radius r. Find the ratio of its distance covered and displacement at the end of 3 and a half rounds

Answer 1

Answer:

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Answer 2

Answer:

Explanation:

Distance of 1 round= The circumference of a circle= 2$\pi$r

Distance of 3 rounds= 3*2$\pi$r

                                  = 6$\pi$r

Distance of 1/2 round= (2$\pi$r)/2

                                   = $\pi$r

Distance of 3 1/2 rounds= 6$\pi$r+$\pi$r

                                        = 7$\pi$r

Displacement= Shortest distance between intial point and final point

Displacement= Diameter of the cirle

                      = 2r

Ratio= 7$\pi$r/2r

        = 7$\pi$

∴ Answer= 7$\pi$

Hope this helped you!