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Cyclic quadrilateral (Length of the diagonal opposite angle B)

Description

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. In a cyclic quadrilateral with successive vertices A, B, C, D and sides a = AB, b = BC, c = CD, and d = DA, the lengths of the diagonals p = AC and q = BD can be expressed in terms of the sides.

Related formulas

Variables

pLength of the diagonal opposite angle B (m)
aLength of the side of the cyclic quadrilateral ( AB) (m)
cLength of the side of the cyclic quadrilateral (CD) (m)
bLength of the side of the cyclic quadrilateral (BC) (m)
dLength of the side of the cyclic quadrilateral (DA) (m)