A particle moves over three quarters of a circle of radius $r$. Find the distance travelled.

As given, a particle moves over three quarters of a circle of radius $r$.

The motion of the particle has been shown in the diagram below:

Thus, the distance travelled $=\frac{3}{4}$ of the circumference of the circle

$=\frac{3}{4}\times2\pi r$

$=\frac{3}{2}\pi r$

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Updated on: 10-Oct-2022

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