# [Tex/LaTex] Filling area between curve and circle using TikZ

tikz-pgf

The question is rather self-explaining. I have the picture below, and now I want to fill the two areas between the circle (arc) and the curves.

\documentclass{article}

\usepackage{tikz}

\begin{document}
\begin{tikzpicture}[thick,every node/.style={circle,scale=.5,fill}]

\draw (0,0) ++(160:3) arc (160:-160:3);

\node (e1) at (160:3) {};
\node (e2) at (-160:3) {};

\draw(e1) -- node[fill=none,left,scale=2] {$e$} (e2);

\draw plot [smooth] coordinates {(160:3) (130:2) (110:2.5) (100:2.5) (90:3)};
\draw plot [smooth] coordinates {(40:3) (30:1) (-40:1.5) (-80:3)};

\end{tikzpicture}
\end{document}


You can fill the area by drawing a closed path which is a combination of the curves and a corresponding arc.

\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}[
thick,
every node/.style={
circle,
scale=.5,
fill
}
]
\draw (0,0) ++(160:3) arc (160:-160:3);

\node (e1) at (160:3) {};
\node (e2) at (-160:3) {};

\draw(e1) -- node[fill=none,left,scale=2] {$e$} (e2);

\fill[cyan,draw=black] plot[smooth] coordinates {
(160:3)
(130:2)
(110:2.5)
(100:2.5)
(90:3)
\fill[cyan,draw=black] plot[smooth] coordinates {
(40:3)
(30:1)
(-40:1.5)
(-80:3) 