Answer:
[tex]A=41.03\ ft^2[/tex]
Step-by-step explanation:
The complete question is
What is the area of a sector with a central angle of 5π/6 radians and a radius of 5.6 ft? Use 3.14 for π and round your final answer to the nearest hundredth.
we know that
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
[tex]\theta[/tex] is the angle in radians.
we have
[tex]r=5.6\ ft[/tex]
[tex]\theta=\frac{5\pi}{6}[/tex]
[tex]\pi =3.14[/tex]
substitute the values
[tex]A=\frac{1}{2}(5.6)^2(\frac{5(3.14)}{6})[/tex]
[tex]A=41.03\ ft^2[/tex]
