SOLUTION: the minute hand of a clock is 9 inches long and moves from 6 a clock to 8 a clock. how far does the tip of the minute hand move? (HINT: the angle should be in radians) a. 9.42 i

Algebra ->  Linear-equations -> SOLUTION: the minute hand of a clock is 9 inches long and moves from 6 a clock to 8 a clock. how far does the tip of the minute hand move? (HINT: the angle should be in radians) a. 9.42 i      Log On


   

Question 971391: the minute hand of a clock is 9 inches long and moves from 6 a clock to 8 a clock. how far does the tip of the minute hand move? (HINT: the angle should be in radians)
a. 9.42 inches
b. 8.92 inches
c. 10 inches
d. 10.01 inches
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
The advantage to using radians for the angle measure is:
Arclength=r%28theta%29
where r=radius, and theta = the angle in radians.
For a clock, since the complete circle is 2%28pi%29,each hour is:
1hr=2%28pi%29%2F12=pi%2F6
There are two hours (6 o'clock to 8 o'clock) and the radius is 9 inched, so
Arclength=r%28theta%29
Arclength=%289in%29%282%28pi%29%2F6%29
Arclength=18in%28pi%29%2F6=3%28pi%29in=9.42in
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ANSWER: The correct response is (a). 9.42 inches