each minute mark is 1/60 of a circle for the minute hand: 6°
So, the minute hand has gone 37*6 = 222° around.
In the meantime, the hour hand, starting at 2:00 (60° along its path), has advanced another 37/60 * 1/12 = 37/720 of a circle. So, the hour hand has moved 60+(37/2) = 78.5°
Thus, the angle between the hands is 222-78.5 = 143.5°
What is the angle between the hour hand and minute hand of a clock at 2:37 p.m?
3 answers
Great explanation thank you
First comment since 2016 😳