CALCULATOR
Regular Polygon Area from Side and Side Count Calculator
Regular Polygon Area from Side and Side Count. Number of sides: 3, 4, 5, 6, 7, 8, 10, 12 only. Example: Side: 2 m, Number of sides: 6 count gives 10.3923048454 m². Regular convex polygon only; side count selected from3,4,5,6,7,8,10,12 enforced by discrete choices. No irregular polygon inference. Only this original stated job is proposed, not full historical source coverage. Input domains and outpu
Regular convex polygon only; side count selected from3,4,5,6,7,8,10,12 enforced by discrete choices. No irregular polygon inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Split regular polygon into n congruent center triangles with apothem s/(2tan(π/n)).
Accepted inputs: Side: 0.001 to 10,000 m; Number of sides: choose 3 (3), 4 (4), 5 (5), 6 (6), 7 (7), 8 (8), 10 (10), 12 (12).
How the calculation works
A=n s²/(4tan(π/n))
Worked example
With side 2 m, number of sides 6, regular polygon area from side and side count is 10.39230485 m².
Assumptions and limits
Regular convex polygon only; side count selected from3,4,5,6,7,8,10,12 enforced by discrete choices. No irregular polygon inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Split regular polygon into n congruent center triangles with apothem s/(2tan(π/n)).