1. A complate revolution measures \(\displaystyle{2}\pi\) radians. The minute hand moves \(\displaystyle\frac{{1}}{{3}}\) of a complete revolution.

2. \(\displaystyle\theta=\frac{{1}}{{3}}{\left({2}\pi\right)}=\frac{{{2}\pi}}{{3}}\) radians

3. r = inches

4. \(\displaystyle{s}={r}\theta={\left({6}\in\right)}{\left(\frac{{{2}\pi}}{{3}}\right)}={4}\pi\)

5. \(\displaystyle{4}\pi\approx{12.57}\)

2. \(\displaystyle\theta=\frac{{1}}{{3}}{\left({2}\pi\right)}=\frac{{{2}\pi}}{{3}}\) radians

3. r = inches

4. \(\displaystyle{s}={r}\theta={\left({6}\in\right)}{\left(\frac{{{2}\pi}}{{3}}\right)}={4}\pi\)

5. \(\displaystyle{4}\pi\approx{12.57}\)