Answer:
[tex]\approx 765.3 feet[/tex]
Step-by-step explanation:
We are given that
Central angle,[tex]\theta=120^{\circ}=\frac{120\pi}{180}[/tex]rad
Using radian measure=[tex]\frac{\pi}{180}\times[/tex]Degree measure
[tex]\pi=3.14[/tex]
Radius,r=200 ft
We have to find fencing which would be needed.
We know that
Length of arc,[tex]l=r\theta=200\times \frac{120\pi}{180}=418.879 foot[/tex]
Fencing would be needed =Length of arc+[tex]2(200sin60^{\circ})[/tex]
Fencing would be needed =[tex]418.879+400\times \frac{\sqrt 3}{2}[/tex]
Fencing would be needed=765.279 feet[tex]\approx 765.3 feet[/tex]
