Regular Polygon Area Calculator & Formula Analysis
Precision Note: Results rounded to 4 decimal places for educational reference.
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Historical Origins & Formula Derivation
The regular polygon area formula has roots in ancient Greek geometry, with key contributions from Euclid and later refinements by Islamic mathematicians. The modern formula derivation involves dividing the polygon into congruent isosceles triangles, calculating their individual areas, and summing them up.
Formula: \( Area = \frac{l^2 \cdot n}{4 \cdot \tan(\frac{\pi}{n})} \) where \( l \) = side length, \( n \) = number of sides
