Length of rectangle =11cm
width of rectangle =4.2cm
Area of rectangle is the product of length and breadth
[tex]\begin{gathered} \text{Area of Rectangle =length }\times Width \\ \text{Substitute the values} \\ \text{Area of rectangle=11}\times4.2 \\ \text{Area of rectangle =46.2cm}^2 \end{gathered}[/tex]
Since, the circle touches the length of rectangle two times, thus,
Diameter of circle = Length of rectangle
[tex]\begin{gathered} \text{Diameter =11cm} \\ Radius=\frac{Diameter}{2} \\ \text{Radius}=\frac{11}{2} \\ \text{Radius}=5.5\operatorname{cm} \\ \text{Area of circle =}\Pi r^2 \\ \text{Area of circle = }\frac{22}{7}(5.5)^2 \\ \text{Area of circle =}\frac{22}{7}\times30.25 \\ \text{Area of circle=95.071cm}^2 \end{gathered}[/tex]
Since, the area of shaded region = Area of rectangle - Area of circle
[tex]\begin{gathered} \text{Area of shaded region=}46.2cm^2-95.071\operatorname{cm} \\ \text{ Area of shaded region = 48.87cm}^2 \end{gathered}[/tex]
