\documentclass[border=2mm]{standalone}
\usepackage{tikz}
\usepackage{xintexpr}
\usetikzlibrary{shapes.geometric}

\begin{document}
\begin{tikzpicture}[scale=3]

% make a node with variable name pol (with the list of features given) at the location (0,0), and don't label it
\node (pol) [draw, thick, black!90!black,rotate=0,minimum size=6cm,regular polygon, regular polygon sides=11] at (0,0) {};

% anchor is "corner 1"
% label is 1/2/3/4/etc
% placement is placement w.r.t. coordinate location
\foreach \anchor/\label/\placement in
    {corner 1/$1$/above,
     corner 2/$2$/above,
     corner 3/$3$/left,
     corner 4/$4$/left,
     corner 5/$5$/below left,
     corner 6/$6$/below,
     corner 7/$7$/below,
     corner 8/$8$/below,
     corner 9/$9$/right,
     corner 10/${10}$/right,
     corner 11/${11}$/above right}
\draw[shift=(pol.\anchor)] plot coordinates{(0,0)} node[font=\scriptsize,\placement] {\label};


\end{tikzpicture}
\end{document}