45. Exemplar exercise problems XXI

Find the area of the shaded region in the given figure, where arcs drawn with centres $A$, $B$, $C$ and $D$ intersect in pairs at mid-points $P$, $Q$, $R$ and $S$ of the sides $AB$, $BC$, $CD$ and $DA$, respectively of a square $ABCD$ (Use $\pi = 3.14$).

 

 

Area of shaded region $=$ $cm^2$