The minute hand of a clock is 7 inches long and moves from 1

The minute hand of a clock is 7 inches long and moves from 12 to 10 o\'clock. How far does the tip of the minute hand move? Express your answer in terms of it and then round to two decimal places. The minute hand moves inches. (Simplify your answer. Type your answer in terms of pi. Use integers or fractions for any numbers in the expression.) The minute hand moves approximately inches. (Round your answer to two decimal places.)

Solution

In 12hrs it moves angle 2pi

In 2hrs it moves angle (2pi/12)*2 = pi/3

a) Distance moved = (pi/3/2pi)*2pi*r

= (1/6)(2pi*7)

Minute hand moves =7pi/3

b) Minute hand moves = 7.33 inches