Question

Area of a cyclic quadrilateral in terms of angle between diagonals

Answer 1

Step-by-step explanation:

Area. where s, the semiperimeter, is s = 12(a + b + c + d). This is a corollary of Bretschneider's formula for the general quadrilateral, since opposite angles are supplementary in the cyclic case. If also d = 0, the cyclic quadrilateral becomes a triangle and the formula is reduced to Heron's formula.