Question

Find the area of the shaded region. Show all of your work.

3 in
6 in
9 in
12 in
18 in

Answer 1

The answer in 2 decimal places is 335.01 square inches

Explanation:

From the problem, the figure has 3 circles inside the rectangle.

The shaded area is the area of the rectangle minus the areas of the 3 circles.

The rectangle has a dimension of 18 in by 30 in.

The circles have radii of 6 in, 9 in and 12 in.

Calculate the areas :

For rectangle :

A=l x w

A=30 x 18=540
`in^(2)`

For Circles :

`A=(\pi D^(2) )/(4)`