Question

Find in degrees and radians the angle between the hour hand and minute hand of a clock at 10:40

Answer 1

in clock, for 1 minute = 360°/60 min = 6° per minute and for 1 hour or 5 minutes =360°/12 hour (or) 5 * 6° = 30° per hour

10:40 = 10*30° + (40/60)*30° - 40*6° = 300° + 20° - 240° = 320° - 240° = 80°

degree between 10:40 is 80°

radians for 80° = 80° *(π/180°) = 4π/9