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- import geometry;
- size(9cm, 0);
- defaultpen(fontsize(10pt));
- dotfactor = 4;
- pair A,B,B1,C;
- point O=origin;
- real r = 2;
- real x = 5/21;
- circle circ = circle(O, r);
- B= point(circ, x*length(circ));
- B1= point(circ, (x+1/2)*length(circ));
- O=circ.C;
- C=point(circ, -1/15*length(circ));
- A=point(circ, (x+1/4)*length(circ) );
- fill(A--O--B--cycle, red+white);
- fill(C--O--B--cycle, blue+white);
- fill(arc(O,B1,C)--O--cycle, orange+white);
- fill(arc(O,A,B1)--O--cycle, orange+white);
- markangle(Label("$\alpha$", Relative(0.5), align = NE), radius = 0.3cm, n=1, C,O,B);
- markrightangle(size=0.2cm, B,O,A);
- draw(B--B1);
- draw(B--C^^O--C^^O--A^^A--B);
- draw(circ);
- pair p []={A, B, B1, C, O};
- pair v []={W, N, S, SE, SW};
- string n []={"$A$", "$B$", "$B_1$", "$C$", "$O$"};
- for ( int k=0; k<p.length ; ++k)
- dot ( Label (n[k] , align =v[k]) ,p[k ]);
- label(Label("$1$", Relative(0.5)), A--O);
- label(Label("$1$", Relative(0.5)), B--O);
- label(Label("$1$", Relative(0.5)), C--O);
- label(Label("$\sqrt2$", Relative(0.5), Rotate(dir(A--B)), align = N), A--B);
- label(Label("$\frac{10}3$", Relative(0.5), Rotate(dir(B--C)), align = NE), B--C);
- label("$S_1$", (A+O+B)/3);
- label("$S_2$", (C+O+B)/3);
- label("$S_3$", (A+O+1.5*B1)/3);
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