Because I am a Pythagorean, it is against my religion to use degrees. I must useas measures.numbers

Therefore $\pi~\&~-\pi$ both represents the point $(-1,0)$.

$\pi$ is the counter-clockwise measure and $-\pi$ is the clockwise measure.

For the point $\left(\dfrac{-\sqrt 3}{2},\dfrac{1}{2}\right)$ is $\dfrac{2\pi}{3}$ is the counter-clockwise measure and $-\dfrac{5\pi}{3}$

is the clockwise measure .