Find the angle between minute hand and the hour hand of a clock when t

1.	Find the angle between minute hand and the hour hand of a clock when the time is 5.40.
Answer» Angle described by the hour hand is 12 hours = 360° ∴ per hour = 360°/12 = 30° ∴ Angle described in 5 hour 40 minutes i.e., in 17/3 x 30° = 170° Now the angle described by minute hand is 60° minutes = 360° i.e., Angle in 40° minutes = 40 × 6° = 240°, ∴ Angle between the minutes hand to hour hand = 240° - 170° = 70° = (70° x π)/180 = 7π/18 radians

Find the angle between minute hand and the hour hand of a clock when the time is 5.40.

Answer»

Angle described by the hour hand is 12 hours = 360°

∴ per hour = 360°/12 = 30°

∴ Angle described in 5 hour 40 minutes i.e., in 17/3 x 30° = 170°

Now the angle described by minute hand is 60° minutes = 360° i.e., Angle in 40° minutes = 40 × 6° = 240°,

∴ Angle between the minutes hand to hour hand = 240° - 170° = 70° = (70° x π)/180 = 7π/18 radians