The area of shaded region is determined by difference of area of circle and area of sector.
First determine the area of circle is
[tex]A=\Pi\times r^2^{}[/tex]
The radius of circle is given as,
[tex]r=11.1\text{ m.}[/tex]
Substitute the value of radius in area of circle,
[tex]A_1=\text{ 3.14}\times(11.1)^2[/tex][tex]A_1=386.88m^2[/tex]
Similarly find the area of sector,
[tex]A_2=\frac{\theta}{360^{\circ}}\times\Pi\times r^2[/tex]
The angle given is,
[tex]\theta=130^{\circ}[/tex]
Substitute the value,
[tex]A_2=\frac{130^{\circ}}{360^{\circ^{}}}\times3.14\times11.1^2[/tex][tex]A_2=0.3611\times386.88[/tex][tex]A_2=139.706m^2[/tex]
The shaded area is determined as,
[tex]A=A_1-A_2[/tex][tex]A=386.88-139.706[/tex]
Thus the area of shaded region is determined as,
[tex]A=247.173m^2[/tex]