UKMT Intermediate Mathematical Challenge, 2020

The diagram shows six points $P$, $Q$, $R$, $S$, $T$ and $U$ equally spaced around a circle of radius $2$ cm. The inner circle has radius $1$ cm. The shaded region has three lines of symmetry. Which of the following gives the area, in cm$^2$, of the shaded region?

(A) $2\pi + 3$ (B) $3\pi + 2$ (C) $\dfrac{4\pi + 3}{2}$ (D) $3(\pi + 2)$ (E) $4\pi + 3$