I would like to have a circle where the circumference is coloured with three different colours, something like the following but a line and with only three colours:
I initially tried
\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\pagestyle{empty}
\begin{document}
\begin{tikzpicture}
\draw [red] (0,0) arc [radius=1, start angle=0, end angle=120];
\draw [green] (1,0) arc [radius=1, start angle=120, end angle=240];
\draw [blue] (0,0) arc [radius=1, start angle=240, end angle=360];
\end{tikzpicture}
\end{document}
but this does not give the right result, and the arguments of the function are such that it's quite difficult to make what I have in mind.




