How can we shade a partial annulus?
\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (-3.5,0)--(3.5,0) node[right]{$x$};
\draw (0,-3.5)--(0,3.5) node[above]{$y$};
\draw (1,0) arc (0:90:1);
\draw (3,0) arc (0:90:3);
\node at (1.3,1.3) {$R$};
\end{tikzpicture}
\end{document}


