Clock

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

Correct result:

x =  10.5 mm

Solution:

r=8⋅ 10=80 mm o=2π⋅ r=2⋅ 3.1416⋅ 80≐502.6548 mm k=1512⋅ 60=148≐0.0208 x=o⋅ k=502.6548⋅ 0.0208=10.5 mmr=8 \cdot \ 10=80 \ \text{mm} \ \\ o=2 \pi \cdot \ r=2 \cdot \ 3.1416 \cdot \ 80 \doteq 502.6548 \ \text{mm} \ \\ k=\dfrac{ 15 }{ 12 \cdot \ 60 }=\dfrac{ 1 }{ 48 } \doteq 0.0208 \ \\ x=o \cdot \ k=502.6548 \cdot \ 0.0208=10.5 \ \text{mm}

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