1 Answer

Begui · Answer 1 · 2022-09-15T07:56:53+0000

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

$s = r\theta$

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

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

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