Clock

What distance will pass end of 8 cm long hour hand for 15 minutes?

Correct result:

x =  10.5 mm

Solution:

$$\begin{gathered} r=8\cdot 10=80\text{ mm } \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 80\doteq 502.6548\text{ mm } \\ k={\displaystyle \frac{15}{12\cdot 60}}={\displaystyle \frac{1}{48}}\doteq 0.0208 \\ x=o\cdot k=502.6548\cdot 0.0208=10.5\text{ mm} \end{gathered}$$

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