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Hexagon Area Calculator

Introduction

Welcome to our Hexagon Area Calculator! which will help you calculate the hexagon’s area quickly and accurately. A hexagon is a closed two-dimensional shape with six sides, six interior angles, and also six vertices. If the length of the sides of a hexagon is all equal, then it becomes a Regular Hexagon. Whereas, if all six sides are unequal, it is called an Irregular Hexagon.

The space occupied by the hexagonal shape in the two-dimensional plane is called the area of the hexagon.

How to use the Hexagon Area Calculator?

Using the Hexagon Area calculator, you can calculate the area of the hexagon by inputting the length of the side of the hexagon.

The variables in the Hexagon Area Calculator include:

Side (a)
Length of a side of a Regular Hexagon.

Area of Regular Hexagon (A)
The area of the Regular Hexagon is calculated using the following formula.

A=332×a2A = \normalsize \dfrac{3\sqrt{3}}{2} \times a^2

Where,

a = Length of the side of the Hexagon

What is a Hexagon?

The hexagon is a closed two-dimensional shape which six sides, six interior angles, and six vertices.

The hexagonal shape can be seen everywhere. For instance, some examples include the honeycomb shape, the shapes on a football, and hexagonal shapes for ceiling designs and floor tiles in architecture.

Basically, Hexagons can be classified into four types based on the length of their sides, a measure of their angles, and their vertices.

  1. Regular Hexagon: if all six sides of the Hexagon are equal and all six angles are equal, then the Hexagon is called a regular Hexagon.
  2. Irregular Hexagon: if the sides and the angles of the Hexagon are not equal, then it is called an Irregular Hexagon.
  3. Convex Hexagon: if all of the vertices of the Hexagon point outward, then it is called a Convex Hexagon.
  4. Concave Hexagon: if at least one of the Hexagon’s vertex points inward, it is called a Concave Hexagon.

The properties of Regular Hexagons:

  1. It has six equal sides and six angles.
  2. It has six vertices.
  3. Each interior angle will be equal to 120 degrees.
  4. Each exterior angle will be equal to 60 degrees.
  5. The sum of all interior angles is equal to 720 degrees.
  6. Opposite sides are parallel to each other.

How is the area of the Hexagon Calculated?

The total space taken up by the Hexagon in a two-dimensional plane is called the area of the Hexagon. It could also be thought of as the number of square units required to fill the region inside the Hexagon. Hence the measurement will be in square units.

We can calculate the area of the hexagon using the following formula.

A=332×a2A = \normalsize \dfrac{3\sqrt{3}}{2} \times a^2

Where,

A = Area of the Regular Hexagon

a = Length of the side of the Hexagon

Examples

Let’s say that there is a regular hexagon with a length of the side equal to 10 cm. What is the area of the hexagon?

We can calculate the area of the regular hexagon using the following formula.

A=332×a2=332×102≈259.80  cm2\begin{aligned} A &= \normalsize \dfrac{3\sqrt{3}}{2} \times a^2 \\[10pt] &= \normalsize \dfrac{3\sqrt{3}}{2} \times 10^2 \\[10pt] &\approx 259.80 \; cm^2 \end{aligned}
Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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