As most know and rest can find out, radians are a dimensionless unit. Actually, it's even worse: angle in general is a dimensionless quantity. That stems from it being defined as a ratio of the arc versus the radius. I now present my opinion of disagreement to this concept. In the strict scientific core of things, I believe no opinion is right or wrong. Units of measurement are there to help us. What does really make them dimensionless or not? Common examples like the aforementioned angle definition, or another classic I like: the efficiency of something, may at times seem "right" to define as dimensionless, their definition including ratios of same units and all. But is it all really not just our choice of convenience? When doing nuclear physics homework at university, very frequently we assumed c=1 and dimensionless. The results weren't wrong. Obviously some units needed appropriate adjustments afterwards....to return to SI. But it's not like we hadn't already fully understood (after a bit getting used to) what the results said. How about the second (s). Imagine a place full of strange sentient robots with processors that run at 1Hz. Their perception of life may be so linked with this unit, the second, that they might just as well not define any unit for time...it's just 1. Everyone understands this and the full laws of physics having it dimensionless. If until this point we have an agreement that dimensions are actually subjective, I can proceed to my humble personal view: it sits better with me that angle is not dimensionless. Rads, degrees....makes perfect sense. Notice how, even while saying angle is dimensionless, we have units for it? Isn't it a little strange? Or even suspicious? I can hardly believe, when talking about angle, that one TRULY thinks of it as a ratio. I think of it as..a wideness thing, an openess thing, a cheese pie piece thing. Contrast this to efficiency: J/J? W/W? Sounds messy. 100%? Yeah baby! 5%? Aw come on! Interestingly enough, although efficiency is a "quantity", there are no "units" of it around. So what's everybody's view on the subject?