\documentclass[margin=5mm]{standalone}
\usepackage{tikz}
\usepackage{xcolor}
\usetikzlibrary{decorations}
\usetikzlibrary{decorations.pathmorphing}

\def\ringa{plot[domain=0:350, smooth cycle] (\x:1+rnd*0.2)}
\def\ringb{plot[domain=0:350, smooth cycle] (\x:2+rnd*0.3)}

\begin{document}
\begin{tikzpicture}

\begin{scope}
\fill[gray!50] (1,0) circle (4cm);
\fill[gray] \ringb;
\end{scope}

\begin{scope}
\fill[gray!50] \ringa;
%(0,0) circle (1)
%(0,0) circle (0.5);
\end{scope}
\draw (-0.3,0) node[]{$\bullet$};
\draw (0,0.4) node[]{$\bullet$};
\draw (3,0) node[]{$\bullet$};
\draw (4,0) node[]{$\bullet$};
\draw (3,2) node[]{$\bullet$};
\end{tikzpicture}
\end{document}