Question #287371

The minute hand of a clock is 4.5 inches long .what distance does the tip move in 25 minutes


1
Expert's answer
2022-01-14T15:23:47-0500

Solution:


s = r * θ where s is the arc length, r is the radius of the circle and θ is the angle in radians.

s = 4.5in * θ

25 mins are 512\frac{5}{12} of an hour and the angle is 512\frac{5}{12} of 2π=5π62 \pi = \frac{5 \pi}{6}


s = 4.5in * 5π6\frac{5 \pi}{6} = 15π6\frac{15 \pi}{6} inches, about 11.78 inches


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