Answer:
The area of the shaded region is [tex]8\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of complete circle subtends a central angle of 2π radians
so
A central angle of π radians subtends an area of semicircle
The area of semicircle is given by the formula
[tex]A=\frac{1}{2}\pi r^{2}[/tex]
we have
[tex]r=4\ units[/tex]
substitute
[tex]A=\frac{1}{2}\pi (4)^{2}[/tex]
[tex]A=8\pi\ units^2[/tex]
therefore
The area of the shaded region is [tex]8\pi\ units^2[/tex]
