The Solution.
The shaded region is made up of three sectors of radius 4, and angle 60 degrees. This means that:
[tex]\text{Area =3(}\frac{\theta}{360}\times\pi r^2)[/tex]
In this case,
[tex]\theta=60^o,r=4,Area=?[/tex]
Substituting these values in the formula for area, we get
[tex]\text{Area}=3(\frac{60}{360}\times3.14\times4^2)[/tex][tex]\text{Area}=3(\frac{1}{6}\times3.14\times16)=3.14\times8=25.12\approx25.1[/tex]
Hence, the correct answer is 25.1
