The minute hand of a clock is 11 inches long What distance d

The minute hand of a clock is 11 inches long. What distance does its tip move in 26 minutes? Give an exact answer.

Solution

Since circumference of a circle made by the tip of the minute hand is:
2(pi)r = 2(3.14)(11) = 29.934 inch.
it travels 26 minutes, that is:

26/60 of the circle
or
13/30 of circle
.
Distance travel is then:
(13/30)(69.08) = 29.934 inch