Free ACT Practice Question

Ray $R$ starts its counter-clockwise revolution around the origin from the positive direction of the $X$-axis in a coordinate plane. After it travels for one full revolution and an additional angle of $x^\circ$, as shown in the diagram, it stops at the illustrated position in the third quadrant. Let $D$ denote the total distance traveled by a point $(1,0)$ on ray $R$. Which statement(s) about $D$ are true? \[ \text{I. } \frac{5\pi}{4} < D < \frac{3\pi}{2} \qquad \text{II. } \frac{\pi}{2} < D < \pi \qquad \text{III. } 3\pi < D < \frac{7\pi}{2} \]