Reeti prepares a Rakhi for her brother Ronit. The Rakhi consists of a rectangle of length $\displaystyle 8$ cm and breadth $\displaystyle 6$ cm inscribed in a circle as shown in the figure. Find the area of the shaded region. (Use $\displaystyle \pi=3 \cdot 14$ )

Diagonal of rectangle \(\displaystyle =\sqrt{6^{2}+8^{2}}=10\) ∴ Radius of circle \(\displaystyle \mathrm{r}=\frac{10}{2}=5\) Area of circle \(\displaystyle =3 \cdot 14 \times 5 \times 5\) \[=78 \cdot 5 \] Area of rectangle \(\displaystyle =6 \times 8=48\) Area of shaded region \(\displaystyle =78 \cdot 5-48\) \[=30 \cdot 5 \mathrm{~cm}^{2} \] ∴ Area of shaded region is \(\displaystyle 30.5 \mathrm{~cm}^{2}\)