find the area of the shaded region. Note that the total radius from the center out to the edge of the shaded region is 8+3 = 11.

Given
The figure.
To find the area of the shaded region.
Explanation:
It is given that,
The radius of the whole circle is 11cm.
And, the radius of the small circle is 3cm.
Then,
The area of the shaded region is,
[tex]\begin{gathered} Area\text{ of the shaded region}=Area\text{ of the whole circle-area of smaller circle} \\ =\pi(11^2)-\pi(3^2) \\ =121\pi-9\pi \\ =112\pi \\ =112\times\frac{22}{7} \\ =351.85cm^2 \end{gathered}[/tex]Hence, the area of the shaded region is 351.85cm^2.