SOLUTION: The minute hand of a clock is 10 inches long. How many inches long, to the nearest tenth of an inch, is the arc the minute hand sweeps through between 3:30 p.m. and 4:06 p.m.?

Question 1191765: The minute hand of a clock is 10 inches long. How many inches long, to the nearest tenth of an inch, is the arc the minute hand sweeps through between 3:30 p.m. and 4:06 p.m.?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The minute hand of a clock is 10 inches long. How many inches long, to the nearest tenth of an inch, is the arc the minute hand sweeps through between 3:30 p.m. and 4:06 p.m.?
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The arc is 360/60 = 6 degrees/minute
330 to 406 is 36 minutes
Arc = 216 degs
Length = 2*pi*r*216/360 = 2*pi*10*(3/5) = 12pi inches
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