Cyclic Quadrilateral Area Calculator & Formula Analysis

Side length a (cm):

Side length b (cm):

Side length c (cm):

Side length d (cm):

Precision Note: Results rounded to 4 decimal places for educational reference.

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Historical Origins & Formula Derivation

The area of a cyclic quadrilateral is calculated using Brahmagupta's formula, developed by the 7th-century Indian mathematician Brahmagupta. This formula generalizes Heron's formula for triangles to cyclic quadrilaterals.

Formula: \( Area = \sqrt{(p-a)(p-b)(p-c)(p-d)} \), where \( p = \frac{a+b+c+d}{2} \) (semiperimeter).