How to Find the Area of a Hexagon in 3 Easy Steps

Learn how to find the area of a hexagon using a simple three step method

Hexagons are extremely interesting shapes with various properties and applications to mathematics, nature, architecture, art, and even spiritualism.

In math terms, a hexagon is a polygon with six sides and six angles, with each side having the same length and each interior angle measuring 120 degrees. The area of a hexagon refers to the space that is occupied within a hexagon. The area of a hexagon is dependent on the length of the sides.

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This short guide on how to find the area of a hexagon will teach you the following skills:

• What is the area of a hexagon?

• What is the area of a hexagon formula?

• How to find the area of a hexagon in 3 easy steps

• Calculate the area of a hexagon examples (step-by-step)

• Free Area of a Hexagon Calculator

What is the area of a hexagon?

The area of any polygon—including hexagons—is the measure of the region inside the boundary formed by its sides. The area of a hexagon can be calculated by dividing it into smaller, simpler shapes and adding up their individual areas. In general, the area of a hexagon is measured in square units, such as square inches or square centimeters.

The area of a hexagon can be found using a standard formula that you can use to find the area of any hexagon.

Note that all of the hexagons referred to in this guide are regular hexagons (hexagons that have six equal sides and six equal angles).

What is the Area of a Hexagon Formula?

The area of a hexagon can be calculated using the formula A = (3√3/2) x s², where A is the area of the hexagon and s is the length of one of its sides. This formula is derived from dividing the hexagon into six equilateral triangles, each with side length s, and finding the area of one of those triangles using the formula A = 1/2 x base x height. The height of an equilateral triangle is equal to 3√3/2 times the length of a side, so multiplying that by the base length of s gives us the area formula for the hexagon.

How to Find the Area of a Hexagon in 3 Easy Steps

Learning how to find an area of a hexagon is an important geometry skill that can be easily mastered by using the following 3-step method for calculating the area of a hexagon:

• Step One: Identify the side length, s, of the hexagon

• Step Two: Input s into the area of a hexagon formula A = (3√3/2) x s² and solve for A

• Step Three: Express your final answer using square units

For instance, calculating the area of a hexagon with a side length of 6 inches could be completed as follows:

Step One: Identify the side length, s, of the hexagon

In this case, the side length, s, of the hexagon is 6 inches (s=6)

Step Two: Input s into the area of a hexagon formula A = 3√3/2 x s² and solve for A

Input s=6 into the area of a hexagon formula as follows:

• A = (3√3/2) x s² → A=3√3/2 x (6)² ≈ 93.53074

Step Three: Express your final answer using square units

The last step for calculating the area of a hexagon with a side length of 6 inches to express your final answer in square units.

Conclusion: The area of a hexagon with a side length of 6 is approximately 93.5 square inches.

As long as you can follow the three step method and correctly use the area of a hexagon formula, then you can solve any calculate the area of a hexagon problem.

To gain some more experience with this method for how to find area of hexagon, let’s go ahead and work through two more examples.

How to Find the Area of a Hexagon Examples

Example #1: Calculate the area of a hexagon with a side length of 11cm.

To calculate the area of a hexagon with a side length of 11cm, you can simply follow the three step method covered in the previous section of this guide.

Step One: Identify the side length, s, of the hexagon

For this first example, the side length, s, of the hexagon is 11cm. So, s=11

Step Two: Input s into the area of a hexagon formula A = 3√3/2 x s² and solve for A

Next, substitute s=11 into the formula for area of a hexagon as follows:

• A = (3√3/2) x s² → A=3√3/2 x (11)² ≈ 314.36722

Step Three: Express your final answer using square units

The final step is to express your final answer using square units. Note that we will be approximating our answer by rounding to the nearest tenths decimal place.

Final Answer: 314.4 square cm (or 314.4 cm^2)

How to Find the Area of a Hexagon: Example #2: Calculate the area of a hexagon with a side length of 22.5ft.

How to find the area of a hexagon with a side length of 22.5 feet can be completed using the same three step method as the previous example

Step One: Identify the side length, s, of the hexagon

The hexagon in this second example has a side length, s, that equals 22.5ft.

So, s=22.5

Step Two: Input s into the area of a hexagon formula A = 3√3/2 x s² and solve for A

For the second step, input s=22.5 into the formula for area of a hexagon as follows:

• A = (3√3/2) x s² → A=3√3/2 x (22.5)² ≈ 1,315.27608

Step Three: Express your final answer using square units

Finally, express the result in units squared.

Final Answer: 1,315.3 square feet (or 1,315.3 ft^2)

Area of a Hexagon Calculator

Use our Free Area of a Hexagon Calculator to Quickly Solve Problems

If you are looking to find the area of a hexagon quickly without making any calculations, our free area of a hexagon calculator is an extremely useful tool that can be used to simplify the process of calculating the area of a hexagon (without relying on the area of a hexagon formula).

Calculating the area of a hexagon manually can be time-consuming, especially if you need to perform multiple calculations. Using an area of a hexagon calculator, you can obtain accurate results in a matter of seconds. Using an area of a hexagon calculator will also help you to avoid making manual errors that often occur when making calculations by hand.

You can also use of area of a hexagon calculator to verify whether or not your manual calculations are correct (i.e. use it as a tool for checking your answers).

→ Click Here to Access a Free Area of a Hexagon Calculator

Conclusion: How to Find the Area of a Hexagon

To find the area of a hexagon, you need to know the length of one of its sides, s.

As long as you know one the side lengths, you can calculate the area of a hexagon by using the formula A = (3√3/2) × s², where A equals the area of a hexagon with side length s.

The area of a hexagon formula applies to all regular hexagons, which have six sides of equal length and six equal angles. You can find the area of any regular hexagon by applying the follow three steps:

• Step One: Identify whether the denominators are the same (like) or different (unlike).

• Step Two: If the example involves like denominators, move onto Step Three. If they are unlike denominators , find a common denominator.

• Step Three: Subtract the numerators and find the difference.

Keep Learning:

• Geometric Shapes—Complete List and Properties

• The Platonic Solids Explained

• How to Find the Area of a Pentagon

• How to Find the Area of an Octagon

• How to Find the Area of a Parallelogram

• How to Find the Area of a Semicircle

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