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Get formula to calculate text rotation angle (clock angle problem)?

John Cosmic
Posted 5 years ago

Hello. Let's say we have circle. We cut it to 4 'triangles' but longest hand is perfect arc. I want to write some letters on this arc but rotate it to be horizontal always. In other words, how to make clock face with horizontal numbers. It can be any hour, so can be 12-3-6-9, but can be 1-4-7-11 etc. Thanks for suggestions.
POSTED BY: John Cosmic
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Rohit Namjoshi
Rohit Namjoshi
Posted 5 years ago

The description is not very clear. Do you mean something like this?

numbers = Range[12];
angles = Table[i*2*Pi/12, {i, 1, 12}];
numberAngles = AssociationThread[numbers, angles];
Graphics[{
  Circle[{0, 0}, 10],
  Text[Style[#, 14, Blue, Bold], {9 Sin[numberAngles[#]], 9 Cos[numberAngles[#]]}] & /@ {1, 4, 6, 7, 11}}]

enter image description here
POSTED BY: Rohit Namjoshi
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