Question

Distance travelled by a body when it completes three-fourth of a revolution around a circular track with radius r is _________.

• A. Distance = 0.5 πr
• B. Distance is equal to 3.14 πr
• C. Distance = 0
• D. Distance = 2πr

Answer 1

The correct option is D

Distance = 2πr

Perimeter of circular track is: $p=2\pi r$

Distance is equal to the total path covered. It is given that three-fourth revolution is covered. Hence, distance is given by:
$d=\frac{3}{4}p$
$d=\frac{3}{4}\times 2\pi r=1.5\pi r$