\documentclass[border=5mm]{standalone}
\usepackage{luamplib}
\begin{document}
\mplibtextextlabel{enable}
\begin{mplibcode}
beginfig(2);
path c; c = fullcircle scaled 100; draw c withcolor .67 red;
for i=0 upto 7:
  fill fullcircle scaled 3 shifted point i of c;
  z[i] = point i of c scaled 1.15;
  write "label(btex $p_" & decimal i & "$ etex,(" 
        & decimal x[i] & "," & decimal y[i]
        & "));" to ".mplabels";
endfor
write EOF to ".mplabels";
input ".mplabels";
endfig;
\end{mplibcode}
\end{document}