Question

PLEASE DO STEP BY STEP I REALLY NEED HELP

Find the area of the shaded region to the nearest tenth.

Answer 1

`A=16(4-\pi)\approx 13.7`

Explanation:

Subtractive Areas

If a greater surface area contains two or more non-overlapping surfaces, we can compute any of them by subtraction.

We have a figure where a circle is inscribed into a square of side length 8. The radius of the circle is half the side, i.e. r=4

The area of the square is

`A_s=l^2=8^2=64`

The area of the circle is

`A_c=\pi r^2=\pi 4^2=16\pi`

The shaded area is

`A=A_s-A_c=64-16\pi`

`A=16(4-\pi)\approx 13.7`