# SOLUTION: if the hand of the clock is 10 cm long how far will it move within 1 hour

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 Click here to see ALL problems on Linear Algebra Question 626224: if the hand of the clock is 10 cm long how far will it move within 1 hour Found 2 solutions by Alan3354, Edwin McCravy:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!if the hand of the clock is 10 cm long how far will it move within 1 hour ========================== Do it like this one: the hand of the clock is 2 cm how far will it move within 1 hour ------------ 1 hour = 1/12 of a revolution = 30 degs, or pi/6 radians. ---- Arc length = r*angle = 2*(pi/6) cm = pi/3 cm =~ 1.047 cm Answer by Edwin McCravy(8920)   (Show Source): You can put this solution on YOUR website!```You didn't tell us whether the hand is an hour hand, minute hand or second hand. If it is the hour hand you're talking about, the tip sweeps out 1 circumference of the circle it travels through in 1 hour. The formula for the circumference of a circle is C = 2pr = 2(3.14)(10) = 62.8 cm. If it is the minute hand, it sweeps through 60 times as many circumferences as it would if it were the hour hand or 60·62.8 = 3768 cm or 37.68 meters. If it is the second hand, it sweeps through 60 times as many circumferences as it would if it were the minute hand or 60·37.68 = 2260.8 meters, or 2.2608 km. a little less than a mile and a half. Edwin```