$ABC$ is a right angled triangle , right angled at A. Find the area of the shaded region if $AB = 6cm, BC = 10cm$ and $I$ is the centre of the incircle of $\Delta ABC.$

Question

$\begin{array}{1 1} \frac{80}{7}\;cm^2 \\ \large\frac{56}{9} \\ 1 \\ 3 \end{array}$