Q.If a 14 cm long pendulum oscillates through an angle of $12°$, then find the length of its path.
A) $\dfrac{13\pi}{14}$ B) $\dfrac{14\pi}{13}$ C) $\dfrac{15\pi}{14}$ D) $\dfrac{14\pi}{15}$

For a sector of a circle of radius $r$ whose central angle is $\theta$ radians, the length $S$ of the enclosed arc is directly proportional to $\theta$ (as a fraction of the full circumference $2\pi r$ corresponding to the full angle $2\pi$):

$\frac{S}{2\pi r} = \frac{\theta}{2\pi} \quad\Longrightarrow\quad S = r\theta$ …