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  • Honestly, I don't know if there is an official definition of “angle between two circles.” One can certainly define the angle between the curves where they intersect. This is one thing. One can draw an arc “at some point” between the curves, which I did as it seemed to be what the OP wanted. Your idea is also a meaningful possibility! If there was a clear definition, it would have been quite desirable to state it in the question, as this is not a math forum. I did ask for precisions there, but got minimal input in return. :-/ Commented Apr 6, 2020 at 15:13
  • One sure thing: this question has a high (collective effort)/(OP's effort) ratio! Commented Apr 6, 2020 at 15:19
  • @frougon I agree, of course. If you do a Google image search for "angle between two circles" then the interpretation of this post shows up quite a few times. From the hand drawn figure one cannot say much, the results look very similar. I also agree with your second comment but this is generally the case here, i.e. in many posts the question leaves a lot of work for the ones who answer them. Commented Apr 6, 2020 at 15:21
  • Too lazy to do the search (and busy with something else), I trust you on this! Commented Apr 6, 2020 at 15:25
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    @frougon Since this question has gotten so little attention I added an analytic variant of one of your variants... ;-) Commented Apr 7, 2020 at 0:38