In the diagram, two circles are centred at $O$. The smaller circle has a radius of 1 and the larger circle has a radius of 3. Points $P$ and $Q$ are placed on the larger circle so that the areas of the two shaded regions are equal. If $\angle P O Q=x^{\circ}$, what is the value of $x$ ?

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-011.jpg?height=368&width=357&top_left_y=697&top_left_x=1315)