Regular Hexagon Area Calculator

1) What measurements can I use to compute area?

You can enter side length, apothem, perimeter, or circumradius. The calculator converts between them using exact identities for a regular hexagon.

2) Which formula is most direct?

If you know the side or circumradius, A = (3√3/2)·s² is quickest. With apothem, use A = 2√3·a². With perimeter, use A = (P·a)/2.

3) What is the apothem?

The apothem is the distance from the center to the midpoint of a side. In a regular hexagon, a = (√3/2)·s.

4) Are results exact?

Formulas are exact; numerical values are rounded to your chosen decimal precision. Increase precision for more digits.

5) Which units are supported?

Enter lengths in millimeters, centimeters, meters, inches, or feet. Area is reported in mm², cm², m², in², and ft².

6) Why does circumradius equal side length?

A regular hexagon can be divided into six equilateral triangles centered at the origin. Each triangle’s side equals the hexagon side and the circumradius.

7) Can I use negative or zero inputs?

No. Geometric lengths must be positive. The calculator validates that your input is greater than zero.

8) What is the distance across flats and across vertices?

Across flats is 2a = √3·s. Across vertices (diameter of circumcircle) is 2R = 2s.