The diagram shows a rhombus $ABCD$. Points $P$ and $Q$ lie on the diagonal $AC$ such that $BPD$ is an arc of a circle with centre $C$ and $BQD$ is an arc of a circle with centre $A$. Each side of the rhombus has length $5{\text{ }}cm$ and angle $BAD = 1.2$ radians.
a) Find the area of the shaded region $BPDQ$.
b) Find the length of $PQ$.

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