SOLUTION: Solve. The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round

Algebra ->  Trigonometry-basics -> SOLUTION: Solve. The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round       Log On


   



Question 885116: Solve.
The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round to 2 decimal places.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round to 2 decimal places.
Circumference of the tip as it moves in one hour:
(pi)(2r)
(3.14)(2*6)
(3.14)(12)
37.68 inches (full hour)
.
if it moves from 12 to 4 it moves
(20/60) fraction of an hour
.
(20/60)37.68
(1/3)37.68
12.56 inches (answer)