SOLUTION: If a clock has a minute hand of lenght 5.5 inches, how far does the tip of the hand travel in 40 minutes?
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Question 419444: If a clock has a minute hand of lenght 5.5 inches, how far does the tip of the hand travel in 40 minutes?
Answer by duckness73(47) (Show Source): You can put this solution on YOUR website!
If the minute hand = 5.5 inches, the route that the tip of the hand travels is along the circumference of a circle whose radius is 5.5 inches. The whole circumference of the circle is found using the formula:
But this is for the whole circle (60 minutes.) If the hand only goes 40 minutes, then we have more work to do:
60 minutes it travels
1 minute it travels (dividing both sides by 60)
40 minutes it travels (multiplying both sides by 40)
inches = (22/3) * (3.14159) inches = 23.038 inches
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