Find the length of an arc of degree measure 30 in a circle with an 8 meter radius. Put answer in exact form.

$\displaystyle \frac{30\;\pi\;(16)}{360}$

$\displaystyle =4.188790205$

$\displaystyle \frac{4.188790205\cdot180}{\pi}$

$\displaystyle =240\;degrees$

$\displaystyle 240\;degrees\;=\;\frac{4\;\pi}{3}\;meters$

Is this the correct answer?