Coolidge's formula (area of a general convex quadrilateral)

Description

A quadrilateral is a polygon with four sides (or edges) and four vertices or corners. Coolidge’s formula calculates the area of a general convex quadrilateral of the sides, the semiperimeter and the lengths of the diagonals of the quadrilateral.

Related formulas

Variables

AThe Area of the quadrilateral (m2)
sThe semiperimeter of the quadrilateral (a+b+c+d)/2 (m)
aSide of the quadrilateral (m)
bSide of the quadrilateral (m)
cSide of the quadrilateral (m)
dSide of the quadrilateral (m)
pOne of the diagonals of the quadrilateral (m)
qThe other giagonal of the quadrilateral (m)