Question

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.

Answer 1

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,

$\begin{gathered} Area\text{ of the shaded region}=Area\text{ of the whole circle-area of smaller circle} \\ =\pi(11^2)-\pi(3^2) \\ =121\pi-9\pi \\ =112\pi \\ =112\times\frac{22}{7} \\ =351.85cm^2 \end{gathered}$

Hence, the area of the shaded region is 351.85cm^2.