tikz pgf - Filling region limited by circumferences using Tkz-Euclide - TeX

I am trying to fill the region enclosed by three circumferences (the little one in the middle) using TikZ or Tkz-Euclide but I am unable to do so, even after looking at several examples.

Three Circles

Here's my MWE:

\documentclass[10pt]{scrartcl}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usetikzlibrary{calc,decorations.pathmorphings}

\begin{document}

\begin{tikzpicture}
\tkzDefPoints{0/0/A, 2/0/B, 1/1.73/C}
\tkzDrawCircle[R](A,1cm)
\tkzDrawCircle[R](B,1cm)
\tkzDrawCircle[R](C,1cm)
\tkzLabelPoints[below left](A)
\tkzLabelPoints[below right](B)
\tkzLabelPoints[above](C)
\tkzDrawPoints(A,B,C)
\end{tikzpicture}

\end{document}

For reference, I have consulted the following similar questions:

Filling a complex region with TikZ

Filling in an area enclosed by two arcs and a line

Filling region between two \draw Tikz

Filling a region in Tikz

How to color a region?

1 Answer

  1. Benson- Reply

    2019-11-15

    A solution using \filldraw:

    \documentclass[10pt]{scrartcl}
    
    \usepackage{tikz}
    \usepackage{tkz-euclide}
    \usetikzlibrary{calc}
    
    \begin{document}
    
    \begin{tikzpicture}
    \tkzDefPoints{0/0/A, 2/0/B, 1/1.732/C}
    \tkzDrawCircle[R](A,1cm)
    \tkzDrawCircle[R](B,1cm)
    \tkzDrawCircle[R](C,1cm)
    \tkzLabelPoints[below left](A)
    \tkzLabelPoints[below right](B)
    \tkzLabelPoints[above](C)
    \tkzDrawPoints(A,B,C)
    % This is my original answer:
    \filldraw[fill=red]
      ($(A)!0.5!(C)$) arc (60:0:1cm) --
      ($(B)!0.5!(A)$) arc (180:120:1cm) --
      ($(C)!0.5!(B)$) arc (-60:-120:1cm) -- cycle;
    % Or a much simpler version suggested by @marmot in the comments:
    % \filldraw[fill=red] ($(A)!0.5!(B)$) arc(0:60:1) arc(-120:-60:1) arc(120:180:1);
    \end{tikzpicture}
    
    \end{document}
    

    filldraw

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