Question

The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes?

Answer 1

Explanation:

angle subtended at center in 15 minutes=360÷60×15=90°=π/4

distance traveled by minute hand=2πr/4=πr/2=6π/2=3π inches≈9.42 inches

distance travelled by minute hand in 25 minutes=2πr×25/60=50πr/60=5/6πr

≈5/6 π×6=5π inches ≈15.71 inches