My intuition is that the $2\pi$ term in the sinusoidal signal equation:
$$x(t) = \sin(2\pi\,f\,t)$$
Is indicative of the fact that this signal can be described as movement around a circle, is that correct?
And the sin component is describing the path it takes about that circle?
*Due to a lack of reputation I'm unable to properly tag this inquiry, would someone please help me remedy that.