Geometry
Regular Polygon Apothem
Apothem (incircle radius) of a regular n-gon.
Formula
Formula
a = s2 tan(πn)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | number of sides | integer (ℤ) | — | input |
| s | side length | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givensides n = 6, side s = 4
Result3.464101615
Example 2
Givensides n = 4, side s = 10
Result5