Answer:
41.03 square feet
Step-by-step explanation:
The area of a sector is given by the formula:
[tex]A=\frac{1}{2}r^2\theta[/tex]
Where A is the area, r is the radius and [tex]\theta[/tex] is the angle in radians.
Given the values, we plug into the formula and solve:
[tex]A=\frac{1}{2}r^2\theta\\A=\frac{1}{2}(5.6)^2(\frac{5\pi}{6})\\A=41.03[/tex]