Question

Determine the shaded area. This figure is not drawn to scale.

Answer 1

To find:

The area of the shaded region.

Solution:

From the figure, it is clear that the length and width of the rectangle inside the circle are 75m and 40m. The diameter of the circle is 85m. The radius of the circle is 85/2m.

The shaded region is equals (area of the circle - area of the rectangle).

So, the area of the shaded region is:

`\begin{gathered} A=\pi r^2-l* w \\ A=\pi((85)/(2))^2-75*40 \\ A=(22)/(7)*(7225)/(4)-3000 \\ A=(158950)/(28)-3000 \\ A=5676.79-3000 \\ A=2676.79m^2 \end{gathered}`

Thus, the area of the shaded region is 2676.79 m^2.