Skip to content
RK Calculator
Menu

Hexagon Calculator

Enter any one measurement of a regular hexagon (side, area, perimeter, diagonals, circumradius or inradius) to find the rest.

Change the values and press Calculate to work out your own figures.

Enter any one measurement of the regular hexagon.

About side (a)The length of a side.
About area (a)In square units.
About perimeter (p)The distance around.
About long diagonal (d)Corner to opposite corner through the centre.
About short diagonal (s)Skipping one corner.
About circumradius (r)Centre to a corner.
About inradius (r)Centre to the middle of a side.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the regular hexagon
41.56921938
Side (a)
4
Perimeter (P)
24
Circumradius (R)
4
Inradius (r)
3.464101615
Long diagonal (d)
8
Short diagonal (s)
6.92820323
Interior angle
120°

The area of the regular hexagon is 41.56921938.

Show the working
  1. From the side (a): side a = 4
  2. Area = n a² ÷ (4 tan(180° ÷ n)) = 6 × 4² ÷ (4 tan(30°))
  3. Area (A) = 41.56921938

How to use it

Enter any one measurement of the regular hexagon.

Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.

Key facts

A = (3√3 ÷ 2) a²; long diagonal 2a; short diagonal √3 a

Six triangles

A regular hexagon is six equilateral triangles; its circumradius equals its side.

Questions

What is the area of a regular hexagon with side 4?

24√3 ≈ 41.56921938.

Each interior angle?

120°.

Formulas

A = (3√3 ÷ 2) a²; long diagonal 2a; short diagonal √3 a

Sources

Limitations

  • All measurements in one calculation use the same unit; the answer is also given in other units.
  • Measurements up to 10¹⁵.

Formula version 0.1.0Reviewed