A hexagon calculator is a tool that, in just a few seconds, computes the most important parameters of a regular hexagon using precise geometric formulas.
By providing just one value, you can instantly find the area, perimeter, diagonal lengths, the circumcircle radius, or the apothem.
A regular hexagon, built from six identical sides and angles of 120°, is a figure of exceptional symmetry.
Thanks to mathematical relationships, it can be fully described with just one input dimension.
This makes it possible to quickly convert values into linear or square units without complicated calculations.
The calculator is useful in education, design, and practical applications where speed and accuracy are crucial.
Definition of a Hexagon – What Is a Regular Hexagon?
A hexagon is a polygon with six sides and six angles.
The special case is the regular hexagon, where all sides and all angles are equal.
In a regular hexagon, each interior angle measures exactly 120°, and the figure can be inscribed in a circle.
The formula for the sum of interior angles of any hexagon is:
S = (n - 2) × 180° = (6 - 2) × 180° = 720°
which gives six angles of 120° each.
How Many Sides Does a Hexagon Have?
A hexagon is a geometric figure with six sides. Each side is a line segment, and together they form a closed shape.
Hexagons can be of two types: regular, when all sides and angles are equal, or irregular, when the sides have different lengths.
In nature, the regular hexagon appears in honeycombs built by bees, as this shape allows for the most efficient use of space and material.
Hexagon Calculator – how to calculate area, perimeter and other parameters?
A hexagon is a geometric figure with six sides. The most common type in math problems and in nature is the
regular hexagon, in which all sides and angles are equal.
With the right formulas, we can easily calculate its area, perimeter, or the lengths of its diagonals.
Our hexagon calculator allows calculations in many ways – simply enter one of the available values, and the remaining parameters will be calculated automatically.
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From the side length
By providing the side length a, the calculator computes:
A = (3 * √3 / 2) * a²
P = 6a
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From the area
If you know the area of a hexagon, you can calculate the side length:
a = √(2A / (3√3))
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From the perimeter
The perimeter of a regular hexagon is six times its side:
a = P / 6
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From the diagonal
A regular hexagon has two diagonal lengths. The longest one equals two sides:
d = 2a
a = d / 2
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From the circumscribed circle radius
The radius of the circumscribed circle of a hexagon equals its side length:
R = a
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From the apothem
The apothem is the line from the center of the hexagon to the midpoint of a side:
r = (√3 / 2) * a
a = (2r) / √3
Why use the hexagon calculator?
Manually deriving formulas and performing calculations can be time-consuming and prone to mistakes.
The calculator automates the process and lets you quickly convert one value
(e.g., perimeter) into others (e.g., area, apothem, diagonal).
This is especially useful for students, teachers, and professionals working with design and geometry in practice.
Knowing the diagonals is important not only in geometry, but also in practice – for example in technical constructions or tile design.
For example, if the side length is 8 cm, then the circumscribed radius R = 8 cm, and the inscribed radius r ≈ 6.93 cm.
The honeycomb pattern is so popular because hexagons perfectly fill space without gaps or wasted material. This principle is often used in engineering and composite materials as well.
