A Triangle's circumscribed circle. Its center is called the Circumcenter, and its Radius the
Circumradius. The circumcircle can be specified using Trilinear Coordinates as

(1) |

A Geometric Construction for the circumcircle is given by Pedoe (1995, pp. xii-xiii). The equation for the
circumcircle of the Triangle with Vertices for , 2, 3 is

(2) |

(3) |

(4) | |||

(5) | |||

(6) | |||

(7) |

Completing the Square gives

(8) |

(9) |

(10) | |||

(11) |

and Circumradius

(12) |

**References**

Pedoe, D. *Circles: A Mathematical View, rev. ed.* Washington, DC: Math. Assoc. Amer., 1995.

© 1996-9

1999-05-26