Word Problem

Question

The minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. How far does he tip of the minute hand move? Express your answer round to two decimal places.

Answer 1

circumference=2(pi)r

C=2(3.14159)6

C=12(3.14159)

C=37.699 inches

the minute hand moves 2/12 of the circumference when it moves from 3 o'clock to 5 o'clock

2/12=1/6

1/6 of 37.699=37.699/6=6.2831666...

rounded to two decimal places  the minute hand moves 6.28 inches