Cyclic quadrilateral (Length of the diagonal opposite angle A)

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

qLength of the diagonal opposite angle A (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)