Asked by Deborah
The minute hand of a clock is 6 inches long and moves from 3 o clock to 5 o clock. how far does the tip of the minute hand move. Express your answer round to two decimal places. Can you solve this?
Answers
Answered by
Reiny
Each hour is equal to 30° or π/6 radians
So to go from 3:00 to 5:00 would take 2π/6 or π/3
the arclength = rØ
= 6(π/3) or 2π inches
= appr 6.28 inches
or
circumference = 2π(6) = 12π
the time from 3:00 to 5:00 represents 1/6 of a rotation = (1/6)(2π) = 2π = appr 6.28 inches as above
So to go from 3:00 to 5:00 would take 2π/6 or π/3
the arclength = rØ
= 6(π/3) or 2π inches
= appr 6.28 inches
or
circumference = 2π(6) = 12π
the time from 3:00 to 5:00 represents 1/6 of a rotation = (1/6)(2π) = 2π = appr 6.28 inches as above
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