Question

Find the length of the arc. round your answer to nearest tenth

Answer 1

41.9 mi

Explanation:

First, we convert the angle from degree measure to radian measure:

`\theta = 240°×\left((\pi)/(180°)\right)= (4\pi)/(3)\:\text{rad}`

Using the definition of an arc length
`s`

`s = r\theta`

`\:\:\:\:=(10\:\text{mi})\left((4\pi)/(3)\:\text{rad}\right)`

`\:\:\:\:= 41.9\:\text{mi}`