Minute-hand

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

Result

s =  281.49 cm

Solution:

r=56 cm o=2π r=2 3.1416 56351.8584 cm q=4860=45=0.8  s=q o=0.8 351.8584281.4867281.49 cmr=56 \ \text{cm} \ \\ o=2 \pi \cdot \ r=2 \cdot \ 3.1416 \cdot \ 56 \doteq 351.8584 \ \text{cm} \ \\ q=\dfrac{ 48 }{ 60 }=\dfrac{ 4 }{ 5 }=0.8 \ \\ \ \\ s=q \cdot \ o=0.8 \cdot \ 351.8584 \doteq 281.4867 \doteq 281.49 \ \text{cm}



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