The minute hand of a clock is 6 inches long. What distance does its tip move in 16 minutes?

3 answers

the radian angle for 16 minutes
= (16/60)(2π) = 8π/15 radians

arclength = rØ
= 6(8π/15) = 16π/5 inches or 10.053 inches

or

one circumference = 2π(6) = 12π
so the fraction of rotation = 16/60

distance covered = (16/60)(12π = 16π/5

25.133

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