Hexagon Area CalculatorFree online math calculator — instant results, no sign-up
Calculate the area of a regular hexagon.
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About the Hexagon Area Calculator
The Hexagon Area Calculator finds the area enclosed by a regular hexagon from its side length. It assumes all six sides are equal and all six interior angles are 120°. With the default side length of 5, the calculated area is 64.9519052838 square units.
- Side length
- The length of one of the regular hexagon’s six equal sides, measured in any consistent length unit, such as centimeters, meters, or inches.
Formula and method
A = (3√3 / 2)s²; with s = 5, A = (3√3 / 2) × 5² ≈ 64.9519052838.
- AArea of the regular hexagon, expressed in square units.
- sLength of one side of the regular hexagon, expressed in linear units.
A regular hexagon can be divided into six equilateral triangles, each with side length s and area (√3 / 4)s². Adding their areas gives A = (3√3 / 2)s². The calculator squares the entered side length and multiplies it by 3√3 / 2. For the default input, 5² = 25, producing the displayed result 64.9519052838.
Worked example
These are the calculator's starting values and the results it actually produces for them.
Inputs
- Side length5
Results
- Result64.9519052838
How to use the Hexagon Area Calculator
- 1Confirm that the shape is a regular hexagon with six equal sides and six equal interior angles.
- 2Enter the length of one side in Side length, or keep the default value of 5.
- 3Use a positive length and note its unit so you can interpret the area correctly.
- 4Read the calculated Result; for the default side length of 5, it is 64.9519052838.
- 5Express the result in the square of the input unit, such as square centimeters for a side measured in centimeters.
Reading your result
The Result row reports the total area enclosed by the regular hexagon, not its perimeter or the area of a single triangular section. With Side length set to 5, Result = 64.9519052838 square units. If the side length is measured in meters, this output is in square meters.
Limitations
The formula applies only to regular hexagons; equal side lengths alone do not guarantee the required equal angles. An irregular hexagon needs additional measurements to determine its area. Side length must be positive for a nondegenerate hexagon. The displayed decimal is rounded, and its precision does not imply that the input measurement is equally precise.
Common questions
Why does the regular hexagon area formula contain 3√3 / 2?+
Connecting the center to all six vertices creates six equilateral triangles. Each has area (√3 / 4)s², so their combined area is 6 × (√3 / 4)s² = (3√3 / 2)s².
Can I enter the distance between opposite vertices as Side length?+
No. In a regular hexagon, the distance between opposite vertices is twice the side length. Divide that measurement by 2 before entering it.
How do I use a measurement taken between opposite parallel sides?+
For a regular hexagon, the distance between opposite parallel sides is √3 times the side length. Divide that distance by √3 to obtain the Side length input.
Is 64.9519052838 the exact area when the side length is 5?+
No. The exact area is 75√3 / 2 square units. The displayed value, 64.9519052838, is its decimal approximation rounded to ten decimal places.
Does the calculator save my information?+
Calculations run in your browser. While signed in, inputs and results are automatically recorded in account history; saving a result creates a separate saved record.
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Results are estimates for informational purposes and are not financial, medical or legal advice.