So I was solving some rotational motion problems when I decided to include the units in solving (just realized the necessity of doing this). Then I ran into some problem regarding the units in the work-energy theorem of rotational motion ( torque $\cdot$ angular displacement = ∆rot.KE ). When you try doing dimensional analysis, you will see that the rotational kinetic energy side will have an extra unit of angular displacement e.g. rad.
My question is why is that the case here?