What is the angle (in circular measure) between the hour hand and the minute hand of a clock when the time is half past 4 ?

Step-by-step solution

Angle rotated by minute hand in 30 minutes = 30 60 360^ =180^ Angle rotated by hour hand when it is at 4.5 = 4.5 12 360^ =135^ Angle between two hands =180^ -135^ =45^