Question

Before laying down sod, Groundskeeper Willie wants to place a fence around the grassy area. How much fencing would he need? Use the Pi button on your calculator, not just 3.14. Do not round your answer until the very end. Round to the nearest TENTH

Answer 1

`\approx 765.3 feet`

Explanation:

We are given that

Central angle,
`\theta=120^(\circ)=(120\pi)/(180)`rad

Using radian measure=
`(\pi)/(180)*`Degree measure

`\pi=3.14`

Radius,r=200 ft

We have to find fencing which would be needed.

We know that

Length of arc,
`l=r\theta=200* (120\pi)/(180)=418.879 foot`

Fencing would be needed =Length of arc+
`2(200sin60^(\circ))`

Fencing would be needed =
`418.879+400* (\sqrt 3)/(2)`

Fencing would be needed=765.279 feet
`\approx 765.3 feet`