Encyclopedia > Cyclic quadrilateral

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Cyclic quadrilateral

In geometry, a cyclic quadrilateral is a quadrilateral whose vertices[?] are all lie on a single circle. The vertices are said to be concyclic[?].

  • Opposite angles of a cyclic quadrilateral add up to <math>\pi</math>.
  • The area of a cyclic quadrilateral is given by Brahmagupta's formula.
  • The area of a cyclic quadrilateral is maximal among all quadrilaterals having the same (multi)set of side lengths.

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