Question

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

Answer 1

41.9 mi

Step-by-step explanation:

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

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

Using the definition of an arc length $s$

$s = r\theta$

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

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