What is the Regular Hexagon Area Calculator?
A regular hexagon is a six-sided polygon where every side and every interior angle is equal. This calculator finds its area directly from the length of one side, and as a bonus also returns the perimeter and the apothem (the distance from the center to the midpoint of a side). It works with any consistent unit — centimeters, meters, inches — and the area is simply expressed in those units squared.
How to use it
Enter the side length s of your hexagon and press calculate. The tool computes the area using the exact closed-form formula, so there is no need to split the shape into triangles by hand. Because a regular hexagon is made of six identical equilateral triangles, the result is always reliable for any positive side value you provide.
The formula explained
The area of a regular hexagon is:
$$A = \frac{3\sqrt{3}}{2}\,s^{2}$$
This comes from the fact that a regular hexagon can be divided into six equilateral triangles of side s. Each triangle has area \(\frac{\sqrt{3}}{4}\,s^{2}\), and six of them give \(6 \times \frac{\sqrt{3}}{4}\,s^{2} = \frac{3\sqrt{3}}{2}\,s^{2}\). The perimeter is simply \(P = 6s\), and the apothem is \(a = \frac{\sqrt{3}}{2}\,s\).
Worked example
Suppose the side length is \(s = 10\). Then \(s^{2} = 100\), and $$A = \frac{3\sqrt{3}}{2} \times 100 = 150\sqrt{3} \approx 259.81 \text{ square units}.$$ The perimeter is \(6 \times 10 = 60\) units and the apothem is \(\frac{\sqrt{3}}{2} \times 10 \approx 8.66\) units.
FAQ
Does this work for irregular hexagons? No — the formula applies only to regular hexagons where all sides and angles are equal. Irregular hexagons must be split into triangles individually.
What units does the result use? Whatever unit you used for the side. If the side is in cm, the area is in cm².
What is the apothem used for? The apothem is handy because area can also be written as \(A = \frac{1}{2} \times \text{perimeter} \times \text{apothem}\), a formula that works for any regular polygon.
