The area of the sector is 472.6 ft²
Area of a Sector
For finding the area of the sector, you need apply the formula:
[tex]A=\pi r^2* \frac{\alpha }{360}[/tex], where:
r= radius
α= central angle
The question gives:
r= radius= 19 ft
α= central angle = 150°
Thus, the area of the sector will be:
[tex]A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6[/tex]
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