Answer:
22.2
Step-by-step explanation:
Hello There!
This is the sector area formula
[tex]A=\frac{0}{360} (\pi r^2)[/tex]
where 0 = sector angle
and r = radius
The given sector has a measure of 50 degrees and a radius of 7.13
Knowing this information we plug it into the formula
[tex]A=\frac{50}{360} (\pi 7.13^2)\\\frac{50}{360} =0.1388888889\\7.13^2=50.8369\\50.8369\pi =159.7088316\\159.7088316*0.1388888889=22.18178216[/tex]
so we can conclude that the area of the sector is 22.18178216 ft²
finally we round to the nearest tenth
and get that the answer is 22.2
