\tikzstyle{Circle}=[
   color=orange
]
\tikzmath{\R=1.5;}
\tikzmath{\RR=\R*2;}
\tikzmath{\Angle=30;}

\clip (-\RR,-\RR) rectangle(\RR,\RR);


\tikzmath{\r=\T*\R;}

\coordinate (R) at (\Angle:\R);
\coordinate (T) at (\Angle+90:1);
\coordinate (N) at (\Angle+180:1);

\filldraw[Circle] (0,0) circle(1pt);
\draw[Circle,very thick] (0,0) circle(\R);
\draw[Circle,opacity=0.8]  (0,0) circle(\r);

\draw[-latex,blue] (R) -- +(T);
\draw[-latex,blue] (R) -- +(N);