Answer:
462 ft²
Step-by-step explanation:
The area of the annulus sector is given by the area of the outer circle (radius of 14 ft) minus the area of the inner circle (radius of 7 ft).
The area of a circle is:
[tex]A=\pi r^2[/tex]
Therefore, the area of the annulus sector is:
[tex]A_A=A_O-A_I\\A_A=\pi*14^2-(\pi*7^2)\\A_A=147\pi\\A_A= 462\ ft^2[/tex]
The area, rounded to the nearest square foot, is 462 ft².
