Answer:
Area of the sector is 97.30 square feet.
Step-by-step explanation:
The area of the sector is given by
[tex]A=(\frac{\theta}{2})r^2[/tex]
Plugging the known values in this formula to find the area of the sector
[tex]A=(\frac{2\pi/9}{2})(16.7)^2\\\\A=\frac{2\pi}{18}\cdot16.7^2[/tex]
Use the value of π as 3.14
[tex]A=\frac{2\cdot3.14}{18}\cdot16.7^2[/tex]
Simplifying, we get
[tex]A=97.3016[/tex]
Rounded to the nearest hundredth, we get
[tex]A=97.30[/tex]
