Answer:
[tex]\sf area \ of \ sector = 94.25 \ ft^2[/tex]
Explanation:
[tex]\sf area \ of \ sector = \frac{1}{2} r^2 \theta[/tex]
using the formula:
[tex]\hookrightarrow \sf area \ of \ sector = \frac{1}{2} r^2 \theta[/tex]
[tex]\hookrightarrow \sf area \ of \ sector = \frac{1}{2} (6)^2 (\frac{5\pi }{3} )[/tex]
[tex]\hookrightarrow \sf area \ of \ sector = 30\pi[/tex]
[tex]\hookrightarrow \sf area \ of \ sector = 30(3.14)[/tex]
[tex]\hookrightarrow \sf area \ of \ sector = 94.25 \ ft^2[/tex]
