1. ## Arc Length

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

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

$=4.188790205$

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

$=240\;degrees$

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

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

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

$=4.188790205$

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

$=240\;degrees$

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

Line 1: Arc length = $r \, \theta$ where $\theta$ is measured in radians.

Line 2: r = 8 and $\theta = \frac{\pi}{6}$.

So yes, your answer is correct but you've taken the scenic route to get there.