SOLUTION: the minute hand of a clock is 12 cm long and the hour hand is two-thirds as long.how much more distance will the tip of the minute hand move than the hour hand in 12 hours?

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Question 769958: the minute hand of a clock is 12 cm long and the hour hand is two-thirds as long.how much more distance will the tip of the minute hand move than the hour hand in 12 hours?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Minute Hand: 12 cm
Hour Hand: (2/3)*12=8 cm

Know that in 12 hours, the minute hand points around the clock face 12 times and the hour hand points around 1 time.

The circumference traveled for the minute hand will be pi%2A12%5E2, so then the amount of point traveling in 12 hours will be 12%2Api%2A12%5E2.

The circumference traveled for the hour hand is pi%2A8%5E2.

MINUTE HAND TRAVELS: highlight%2812%2Api%2A12%5E2%29
HOUR HAND TRAVELS: highlight%28pi%2A8%5E2%29