Answer:
7330 sq.ft
Step-by-step explanation:
Area covered by the beam = Area of sector
Area of sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex]
Where,
[tex] \theta = 84° [/tex]
Radius (r) = 100 ft
Plug in the values into the formula
Area of sector = [tex] \frac{84}{360} \times \pi 100^2 [/tex]
Area of sector = [tex] \frac{84 \times \pi \times 10,000}{360} [/tex]
Area of sector = 7,330 ft² (nearest square foot)
