I would like to fill the intersection between the disk and the form delimited by the folling plot :
\documentclass[11pt]{report}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}
\draw[name path=k1,fill=blue!30] plot[smooth cycle] coordinates
{(0,0) (1,1) (3,0) (5,1) (7,-1.5) (4,-3) (2,-2) (0,-1)};
\draw [name path=k2] (1,0) circle (2cm);
\draw [red,very thick,intersection segments={of=k1 and k2,sequence={L1}}];
\draw [blue,very thick,intersection segments={of=k1 and k2,sequence={L3}}];
\draw [green,very thick,intersection segments={of=k1 and k2,sequence={R3}}];
\draw [green,very thick,intersection segments={of=k1 and k2,sequence={R2}}];
\end{tikzpicture}
\end{document}
I don't manage to pick the right segments to achieve filling the intersection correctly.



\clipthat can be used in this case. While it's a valid alternative (if the OP decides to use it), it doesn't make this question a duplicate. – Alenanno Oct 21 '20 at 23:21