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Hexagon Calculator

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The hexagon calculator will determine all the essential information about a regular hexagon.

What is a Hexagon?

What is a regular hexagon? It’s a geometric figure with six sides and six angles. The six sides are all of equal length, therefore all the angles are of equal length.  The sum of the interior angles of a polygon is 180(n – 2), where n is the number of sides. Therefore, a hexagon has an interior angle sum of 720 degrees and each interior angle of a regular hexagon has a measure of 120 degrees.  The number of diagonals in a hexagon is equal to nine.

If the hexagon is troublesome for you, then this calculator will be extremely handy. This calculator will calculate everything you need to know about a hexagon, from the area or perimeter to the diagonal lengths. It is fast and convenient compared to the tedious manual work required when using the formulas.

Before using the calculator, you should understand the concepts of how to calculate by hand, in case you need to do so.

How to Calculate a Hexagon by Hand

A hexagon inside a square

The area of a regular hexagon can be determined by finding the area of one of the six triangles that make up the hexagon and multiplying by six. If the edge of the triangle is “a” then the area

\(A = \frac{\sqrt{3}}{4}\times a^{2}\) and if you multiply by 6 you get \((\frac{3\sqrt{3}}{2})a^{2}\)

You could memorize this formula or perform the calculations manually, but the calculator will work this for you quickly and effectively once you enter the length of “a”.

To find the perimeter, simply take the length of one side and multiply by 6. This is quite easy even without the use of a calculator (if you know the length of a side).

Similarly, the calculator can figure out the length of the diagonals. Your formula for the length of the long diagonals is 2a and the length of the short diagonals is \(a \times \sqrt{3}\). These calculations come from the 30-60-90 right triangle, but if you don’t want to memorize these formulas or derive them, simply use the calculator for nearly instant results.

The circumradius and inradius of a hexagon are both easy to calculate. The circumradius (R) is equal to “a” and the inradius (r) is equal to \(\frac{\sqrt{3}}{2} \times a\).

Again, no need to memorize all these formulas and manual calculations, let the hexagon calculator do all the work for you in a fast and easy way!