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

To determine the area of the shaded region we notice that it is equal to the area of the outer circle minus the area of the inner circle.

Recall that the area of a circle is given by the following formula:

`A=r^2\pi,`

where r is the radius of the circle.

Using the above formula, we get:

`\begin{gathered} A_(innercircle)=(3cm)^2\pi, \\ A_(outercircle)=(11cm)^2\pi. \end{gathered}`

Therefore, the area of the ring is:

`A=(121-9)cm^2\pi=112\pi cm^2.`

Answer:

`\begin{equation*} 112\pi cm^2. \end{equation*}`