Answer:
[tex]A_s=9.22\ units^2[/tex]
Step-by-step explanation:
Area of a Circular Sector
A circular sector is a shape formed by two radios and the part of the circumference they define. A central angle [tex]\theta[/tex] (in radians) is formed and the area of the sector is given by
[tex]\displaystyle A_s=\frac{1}{2}\theta\cdot r^2[/tex]
The dimensions provided in the questions are
[tex]\theta=66^o[/tex]
[tex]r=4\ units[/tex]
Converting the angle to radians
[tex]\theta=66\cdot \pi/180=1.152\ rad[/tex]
Now we compute the area
[tex]\displaystyle A_s=\frac{1}{2}\cdot 1.152\cdot 4^2[/tex]
[tex]A_s=9.22\ units^2[/tex]
