Regular Polygon Calculator
Area, perimeter, apothem, circumradius and interior angle of any regular polygon.
Results
Area
2.59808
m²
Perimeter
6.0000
m
Apothem
0.86603
m
Interior angle
120.0000
°
Radius
1.00000
m
What this tool does
Give the number of sides and the length of one side and everything else follows. Hexagons show up in paving, nuts and honeycomb panels; octagons in signs and tiling; and as the side count rises the shape closes in on a circle.
Formula
A = n × s² ÷ (4 × tan(π/n))
Variables
| Symbol | Meaning | Unit |
|---|---|---|
n | Number of sides | — |
s | Side | m |
A | Area | m² |
P | Perimeter | m |
AP | Apothem | m |
IA | Interior angle | ° |
R | Radius | m |
Worked example
- Number of sides6
- Side1 m
- Area2.59808 m²
- Perimeter6.0000 m
- Apothem0.86603 m
- Interior angle120.0000 °
- Radius1.00000 m
Limitations
- Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.