47. Exemplar exercise problems XXIII

In the given figure, arcs are drawn by taking vertices $A$, $B$ and $C$ of an equilateral triangle of side $10 \ cm$ to intersect the sides $BC$, $CA$ and $AB$ at their respective mid-points $D$, $E$ and $F$. Find the area of the shaded region (Use $\pi = 3.14$)

 

 

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