What is the angle of the clock hands on the twelve o’clock dial at half past one?

As you know, on the twelve o’clock dial, the numbers divide the circle into 12 equal parts. At half of every hour, the minute hand is positioned at 6, and the hour hand is positioned between the two figures exactly in the middle.

1. Let’s calculate how many degrees of a circle are between two adjacent digits, if the full circle is 360 °:

360: 12 = 30 °;

2.Count how many gaps are between the hour hand and the minute in half past two, by counting on the dial: it is obvious that there are four gaps between the numbers 2 and 6, but the hour hand is in the middle between the numbers 1 and 2. Thus, the distance between the hands is:

4 + 0.5 = 4.5 gaps;

3. Let’s calculate how many degrees it is, if by the first action we have already determined that one interval corresponds to 30 degrees:

30 * 4.5 = 135 °.