Angles Question

Question

The minute hand of a clock is inches long and moves from 12 to ​o'clock. How far does the tip of the minute hand​ move? Express your answer in terms of and then round to two decimal places.

Answer 1

the minute hand has length = m inches

in 12 hours its tip moves a distance = a circle's circumference = 2mpi inches

in 1 hour, it moves 1/12 x 2mpi = mpi/30 inches where pi= approximately 3.141593

mpi/6 = about m(3.14)/30 = about .525m

if the minute hand's length = 10 inches, then it moves about 5.25 inches in one hour

in h hours it moves about 5.25h inches