A sportsman runs around a circular track of radius r such that he...

A sportsman runs around a circular track of radius

r

such that he traverses the path

A B A B

. The distance travelled and displacement, respectively, are
A sportsman runs around a circular track of radius r such that he traverses the path A B A B . The distance travelled

A sportsman runs around a circular track of radius r such that he traverses the path A B A B . The distance travelled

Options

A $2 \mathrm{r}, 3 \pi \mathrm{r}$
B $3 \pi r, \pi r$
C $\pi r, 3 r$
D $3 \pi r, 2 r$

Correct answer

D. $3 \pi r, 2 r$

Step-by-step solution

Displacement

=2 r

Distance

=2 \pi r+\pi r=3 \pi r

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