Turns are better than radians
As already mentioned by others, radians are not arbitrary units for angles; in fact, they are the &quot;natural&quot; &quot;units&quot;, so to speak.<p>By definition, an angle is just the ratio of a circular arc (<i>s</i>) to its radius (<i>r</i>), <i>θ</i> = <i>s</i>&#x2F;<i>r</i> (as an exercise, imagine how to apply this definition to the angle between two intersecting lines). When the length of the circular arc equals its radius (<i>s</i> = <i>r</i>), the angle subtended is exactly 1 radian; of course, since this is just a ratio, 1 radian is exactly the same as 1 numerically, which is why I put &quot;unit&quot; in quotes earlier -- a radian is not really a unit at all!<p>A degree, in contrast, equals pi &#x2F; 180 radians. Of course, since 1 radian = 1, that really just means that 1 deg = pi &#x2F; 180, similar to how 1%=0.01. Putting this all together, it is perfectly parsable  (although not recommended) to say that a $5 burger costs roughly $29000% deg.