Minute-hand

How long distance will travel a large (minute) hand on the clock for 48 minutes, if its length is 56 cm?

Correct result:

s =  281.49 cm

Solution:

$$\begin{gathered} r=56\text{ cm } \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 56\doteq 351.8584\text{ cm } \\ q={\displaystyle \frac{48}{60}}={\displaystyle \frac{4}{5}}=0.8 \\ s=q\cdot o=0.8\cdot 351.8584=281.49\text{ cm} \end{gathered}$$

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