Length of minute hand of a clock is 14cm & hour hand is 10cm, difference of distance covered by the tip these in 15min?

Question

Length of minute hand of a clock is 14cm and hour hand is 10cm, find the difference of distance covered by the tip these two in 15 min?

Answer 1

Distance traveled by Minute Hand = 14*(π/2) = (7π)cm (minute hand travels 90º in 15 minutes)
angle traveled by the hourhand in 15 minutes = 15*360/(12*60) = 7.5º
Distance traveled by Hour Hand = (7.5*(π/180))*10 = ((15/36)π)cm = (5π/12)cm.
The difference in distance covered by the minute and the hour hand in 15 minutes = 7π - (5π/12) = (79π/12) cm