Question

A spotlight has a beam that travels 100 feet and covers an area intercepted by an 84°

Answer 1

Answer:

7330 sq.ft

Step-by-step explanation:

Area covered by the beam = Area of sector

Area of sector = $\frac{\theta}{360} \times \pi r^2$

Where,

$\theta = 84°$

Radius (r) = 100 ft

Plug in the values into the formula

Area of sector = $\frac{84}{360} \times \pi 100^2$

Area of sector = $\frac{84 \times \pi \times 10,000}{360}$

Area of sector = 7,330 ft² (nearest square foot)