2. Let the distance from point $P$ to plane $\alpha$ be $\sqrt{3}$, and point $Q$ lies on plane $\alpha$ such that the angle between line $P Q$ and $\alpha$ is no less than $30^{\circ}$ and no more than $60^{\circ}$. Then the area of the region formed by such points $Q$ is $\qquad$
Let $P O \perp$ plane $\alpha$ at $O$, then the trajectory of point $Q$ is the annular region on plane $\alpha$ with $O$ as the center and radii of 1 and 3. Its area is $9 \pi-\pi=8 \pi$.