Image drawn with the following code:

defaultpen(fontsize(8));
pair A=expi(-pi/2-acos(475/486)), B=expi(-pi/2+acos(475/486)), C=expi(-pi/2+acos(475/486)+acos(7/18)), D=expi(-pi/2+acos(475/486)+2*acos(7/18)), E=expi(-pi/2+acos(475/486)+3*acos(7/18)), F=expi(-pi/2-acos(475/486)-acos(7/18));
draw(unitcircle);draw(A--B--C--D--E--F--A);draw(A--C..A--D..A--E);
dot(A^^B^^C^^D^^E^^F);
label("A",A,(-1,-1));label("B",B,(1,-1));label("C",C,(1,0));
label("D",D,(1,1));label("E",E,(-1,1));label("F",F,(-1,0));
label("31",A/2+B/2,(0.7,1));label("81",B/2+C/2,(0.45,-0.2));
label("81",C/2+D/2,(-1,-1));label("81",D/2+E/2,(0,-1));
label("81",E/2+F/2,(1,-1));label("81",F/2+A/2,(1,1));
label("<math>x</math>",A/2+C/2,(-1,1));label("<math>y</math>",A/2+D/2,(1,-1.5));
label("<math>z</math>",A/2+E/2,(1,0));

Giving: