Answer:
Option D
Step-by-step explanation:
17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]
= [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
Here 'r' = radius of the circle
From the picture attached,
r = 10 ft
θ = 300°
Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]
= [tex]\frac{5}{6}(100\pi )[/tex]
= [tex]\frac{250\pi}{3}[/tex]
Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²
Therefore, Option (D) will be the correct option.
