Brahmagupta's formula (area of a cyclic quadrilateral )
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.
The area A of a cyclic quadrilateral with sides a, b, c, d is given by Brahmagupta’s formula.
Variables
A | Area of the cyclic quadrilateral (m2) |
s | Semiperimeter of the cyclic quadrilateral (a+b+c+d)/2 (m) |
a | Length of the side of the cyclic quadrilateral (m) |
b | Length of the side of the cyclic quadrilateral (m) |
c | Length of the side of the cyclic quadrilateral (m) |
d | Length of the side of the cyclic quadrilateral (m) |