Answer
$2\pi$ feet
Work Step by Step
We know that the length of the arc $s$ cut off by $\theta$ can be calculated as $s=r\theta$.
We are given that $\theta=\frac{\pi}{6}$ and $r=12$ cm.
Therefore, $s=\frac{\pi}{6}(12)=\frac{\pi}{6}\times12=\frac{\pi\times12}{6}=\frac{12\pi}{6}=2\pi$ feet.