
[asy]size(4cm);pairo=(0,0);paira=(−sqrt(2)/2,−sqrt(2)/2);pairb=(sqrt(2)/2,−sqrt(2)/2);pathp=Arc(o,1,225,315)−−b−−a−−cycle;fill(p,purple);dot(o);dot(a);dot(b);draw(o−−b−−a−−o);draw(a/8−−(a+b)/8−−b/8);draw(Circle(o,1));label("$O$",o,N);label("$A$",a,SW);label("$B$",b,SE);[/asy]
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