Cyclic Quadrilateral - Angle Formulas

Angle Formulas

For a cyclic quadrilateral with successive sides a, b, c, d, semiperimeter s, and angle A between sides a and d, the trigonometric functions of A are given by

The angle θ between the diagonals satisfies

If the extensions of opposite sides a and c intersect at an angle , then

where s is the semiperimeter.

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