Question

Find the area of the shaded region.60460°Note: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.

Answer 1

The Solution.

The shaded region is made up of three sectors of radius 4, and angle 60 degrees. This means that:

`\text{Area =3(}(\theta)/(360)*\pi r^2)`

In this case,

`\theta=60^o,r=4,Area=?`

Substituting these values in the formula for area, we get

`\text{Area}=3((60)/(360)*3.14*4^2)`
`\text{Area}=3((1)/(6)*3.14*16)=3.14*8=25.12\approx25.1`

Hence, the correct answer is 25.1