Question

Find the area of the shaded region. 14ft 21ft with a circle in the middle

Answer 1

140.14 ft

Explanation:

This is a 3 step problem.

The first step is to find the area of the rectangle, and the formula is:

`A=lw` with l being the length and w being the width

substitute in the values:

A=21(14)

A=294

The next step is to find the area of the circle. We aren't given much information, except that the diameter of the circle is 14 ft because the 2 ends of the circle are at the ends of the width of the rectangle.

The formula for the area of a circle is:

`A=\pi r^(2)` with r² being the radius squared

substitute in the values:

`A=\pi 7^(2) \\A=\pi 49\\A=153.86` (this is with
`\pi` being 3.14)

The final step is to subtract the 2 values to find the shaded area.

294-153.86

=140.14

So the area of the shaded region is 140.14 feet

Hope this helps! :)