# The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round to two decimal places.

Question
Analytic geometry
The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of $$\displaystyle\pi$$ and then round to two decimal places.

2021-02-27
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. $$\displaystyle{4}\pi\approx{12.57}$$

### Relevant Questions

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Previous studies show that $$\sigma_1 = 19$$.
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Express your answer to two significant figures and include the appropriate units.
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