%@AUTEUR:Guillaume Connan

prologues:=2;

verbatimtex
%&latex
\documentclass{article}
\usepackage[upright]{fourier}
\begin{document}
etex

input geometriesyr16

figure(0,0,6cm,6cm);
pair M,N,P,O;
path cc,aa;

O=(3cm,3cm);

drawarrow (3cm,0)--(3cm,6cm);drawarrow (0,3cm)--(6cm,3cm);

cc=cercles(O,2cm);
trace grille(0.5) withcolor .5white;

trace cc withpen pencircle scaled 1.1bp withcolor 0.5white;

M=pointarc(cc,135);
N=pointarc(cc,45);

fillcolor:=jaune;
aa=M--arccercle(M,N,O)--cycle;
transparence aa;
trace arccercle(M,N,O)  withpen pencircle scaled 1.2bp withcolor orange;

dotlabel.ulft(btex $\frac{3\pi}{4}$ etex,M);
dotlabel.urt(btex $\frac{\pi}{4}$ etex,N);
dotlabel.urt(btex {\footnotesize $\frac{\sqrt{2}}{2}$} etex,(3cm,4.414cm));
dotlabel.ulft(btex $\pi$ etex,(1cm,3cm));
dotlabel.llft(btex $-\pi$ etex,(1cm,3cm));

draw O--M dashed evenly;
draw O--N dashed evenly;
draw M--N withpen pencircle scaled 1.1bp withcolor orange dashed evenly;
fin;

end