36yupz... it is l/r which is a constant ratio and clearly dimensionless.. as they both are lengths...!! :D
What exactly an angle is[1]....since it is dimensionless we know its value should remain same in all units!...so certainly we cant say it is dimensionless.If not dimensionless then what it is??....say cheese
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49Dude it is dimensionless!
In different units what we do is change the definition of an unit angle! Thus difference in magnitude!
I ll give an analogous example!!
Count number of units!
()()()()()()()()()()()
If we consider one ( or one ) as a unit then there are 22 units in above figure
and if we consider () as a single unit then there are 11 units!
Though "number" of objects is always dimensionless by sure logic! :D