A hexagon (not necessarily regular) on whose Vertices a Circle may be Circumscribed. Let

(1) |

(2) | |||

(3) | |||

(4) | |||

(5) | |||

(6) | |||

(7) |

Then define

(8) | |||

(9) | |||

(10) | |||

(11) | |||

(12) |

The Area of the hexagon then satisfies

(13) |

(14) |

**References**

Robbins, D. P. ``Areas of Polygons Inscribed in a Circle.'' *Discr. Comput. Geom.* **12**, 223-236, 1994.

Robbins, D. P. ``Areas of Polygons Inscribed in a Circle.'' *Amer. Math. Monthly* **102**, 523-530, 1995.

© 1996-9

1999-05-25