CM\] Radius\[=\frac{10}{2}=5\,\,cm\] Now, Area \[=\pi {{r}^{2}}=\pi \times {{\LEFT( 5 \right)}^{2}}=25\pi \] Area of shaded portion\[=\left( 25\pi -8\times 6 \right)\] \[=\left( 25\times \frac{22}{7}-48 \right)=\frac{550-336}{7}=\frac{214}{7}=30.5\,\,c{{m}^{2}}\]