Geometry
Polygon Area (apothem)
Area of a regular polygon from sides and apothem.
Formula
Formula
A = ½ · perimeter · apothem
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | number of sides | integer, n ≥ 3 | — | input |
| s | side length | s > 0 | length | input |
| a | apothem | a > 0 | length | input |
| A | area | A > 0 | length² | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givensides n = 6, side s = 4, apothem a = 3.46
Result41.52
Example 2
Givensides n = 4, side s = 10, apothem a = 5
Result100