Regular Polygon Area
A regular polygon area calculator computes area, perimeter, and circumradius for any regular polygon (equal sides and angles) given the side length and number of sides.
- 1Area = (n × s²) / (4 × tan(π/n))
- 2n = number of sides; s = side length
- 3Perimeter = n × s
- 4Circumradius R = s / (2 × sin(π/n))
Regular pentagon (5 sides), side 4 cm=Area = (5 × 16) / (4 × tan(36°)) = 80/2.906 = 27.53 cm²
| Sides | Name | Area | Interior angle |
|---|---|---|---|
| 3 | Triangle | 0.433 | 60° |
| 4 | Square | 1.000 | 90° |
| 5 | Pentagon | 1.720 | 108° |
| 6 | Hexagon | 2.598 | 120° |
| 8 | Octagon | 4.828 | 135° |
| 12 | Dodecagon | 11.196 | 150° |
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