Question

What is the angle between the hour hand and minute hand of a clock at 2:37 p.m?

Answer 1

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°

Answer 2

Great explanation thank you

Answer 3

First comment since 2016 😳