Answer
Quadrant III
Work Step by Step
$\frac{16\pi}{3}$ radians
It is a positive angle and obtained by rotating the terminal side counterclockwise $\frac{16\pi}{3}$ = $5\pi$ + $\frac{\pi}{3}$ radians.
We use |$\frac{16\pi}{3}$| or $\frac{16\pi}{3}$ to determine the rotation.
So $\frac{16\pi}{3}$ radians lies in quadrant III.
Find the attachment.