Wie zeichne ich einen Kreissektor mit Tikz mit festgelegten Zentrum und Zentriwinkel?

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%\documentclass[]{article}
\documentclass[margin=5pt]{standalone}
\usepackage{tikz}
\begin{document}
%"einfach":
\begin{tikzpicture}[font=\tiny\sffamily]
\coordinate (M) at (1,3.7);
\draw[red, ultra thick, fill=green!30] ([shift=(30:2cm)]M)  arc[start angle=30, end angle=110.5,radius=2cm] -- (M) -- cycle;
\draw[fill=brown] (M) circle[radius=2pt] node[below]{(M)};
\draw[fill=black] ([shift=(30:2cm)]M)  circle[radius=2pt] node[above, rotate=-45]{([shift=(30:2cm)]M)};
\end{tikzpicture}
%"schwer":
%\draw[<Zeichenoptionen>]([shift=(<Startwinkel>:<Radius>)]<Koordinatenort>) arc (<Startwinkel>:<Endwinkel>:<Radius>);
\begin{tikzpicture}[font=\tiny\sffamily]
\draw[red, ultra thick, fill=green]([shift=(30:2cm)]1,3.7) arc (30:110.5:2cm) -- (1,3.7) -- cycle;
\draw[fill=brown] (M) circle[radius=2pt] node[below]{(M)};
\draw[fill=black] ([shift=(30:2cm)]M)  circle[radius=2pt] node[above, rotate=-45]{([shift=(30:2cm)]M)};
\end{tikzpicture}
\end{document}
 
 
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