Clocks

How long path will walk the end of the clock's minute-hand long 7 cm for 330 minutes? How long will walk in the same time hour-hand?

Correct result:

minute hand walk:  241.9 cm
minute hand walk:  20.2 cm

Solution:

sm=2π⋅33060⋅7=241.9 cms_m = 2\pi \cdot \dfrac{ 330}{ 60 } \cdot 7 = 241.9 \ \text{cm}
sh=2π⋅33012⋅60⋅7=20.2 cms_h = 2\pi \cdot \dfrac{ 330}{12 \cdot 60} \cdot 7 = 20.2 \ \text{cm}

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