Question

A body travels on a circular path of radius 5m. Find the distance & displacement after completing half of the circle.

Answer 1

$\bold{ \red{ \underline{ \underline{Answer}}}}$

$\tt{ \purple{Distance \: for \: half \: circle \: = 5\pi \: m}} \\ \tt{ \purple{Displacement \: for \: half \: circle = 10 \: m}}$

• Given

» Radius = 5 m

• To Find

» Distance of half Circle = ?

» Displacement of half Circle = ?

• According to given question :

$\sf{Distance \: for \: half \: circle \: = \frac{1}{2} (2\pi \: r)} \\ \\ \tt{ \implies \frac{1}{2} (2\pi \: 5)} \\ \\ \tt{ \purple{\underline{\boxed{\implies 5\pi \: m}}}}$

$\sf{Displacement \: for \: half \: circle \: = shortest \: distance} \\ \\ \tt{ \implies r + r} \\ \\ \tt{ \implies 2 \: r} \\ \\ \tt{ \implies 2 \times 5} \\ \\ \tt{ \purple{\underline{\boxed{ \implies 10 \: m}}}}$