Answer:
The area of the shaded region is [tex]30.985\ cm^2[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is the area outside the square and inside the circle
so
The shaded area is equal to the area of circle minus the area of the square
[tex]A=\pi r^{2}-b^2[/tex]
we have
[tex]\pi =3.14[/tex]
[tex]r=11/2=5.5\ cm[/tex] ----> the radius is half the diameter
[tex]b=8\ cm[/tex] ---> the length side of the square
substitute
[tex]A=(3.14)(5.5)^{2}-8^2=30.985\ cm^2[/tex]
