The area of the shaded sector is [tex]8\pi[/tex] square units
The area of a sector is calculated using:
[tex]A = \frac{\theta}{2}* r^2[/tex]
So, we have:
[tex]A = \frac{\pi}{2}* 4^2[/tex]
Evaluate the exponent
[tex]A = \frac{\pi}{2}* 16[/tex]
Evaluate the quotient
[tex]A = 8\pi[/tex]
Hence, the area of the shaded sector is [tex]8\pi[/tex] square units
Read more about sector areas at:
https://brainly.com/question/22972014
