Unlabeled

Angle between the hands of a clock, from noon to midnight

The hands of a clock meet every 65 minutes and 27 seconds: 11 times in each twelve hours, counting noon and not midnight. They point opposite ways 11 times and make a right angle 22 times.

What does this axis measure?
What does this axis measure?
Angle between the hands of a clock, from noon to midnight: 23 points, a line chart.
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Angle between the hands (degrees)
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Time (hours)
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The data: 23 points
Time (hours)Angle between the hands (degrees)
00
0.5455180
1.09090
1.6364180
2.18180
2.7273180
3.27270
3.8182180
4.36360
4.9091180
5.45450
6180
6.54550
7.0909180
7.63640
8.1818180
8.72730
9.2727180
9.81820
10.3636180
10.90910
11.4545180
120
Source
Computed: the minute hand turns 6 degrees a minute and the hour hand 0.5 (Wikipedia, Clock angle problem) via Dave Elgin, Angles on the Clock Face, Mathematics in School 36 (5), 2007, pages 4-5 (The Mathematical Association)
Licence
CC-BY-SA 4.0
Read
2026-10-20
Drawn
23 points as the puzzle showed them · line
  • Ran in puzzle #26 on October 22, 2026. Play it