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UniKit

Regular hexagon area

Regular hexagon area A = 3√3/2·a²: enter the side length to get the area plus perimeter, apothem, circumradius and both diagonals; values are rounded to 6 decimals and a non-positive side is rejected.

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Side a

Result

One quantity per line, ready to copy.

Enter a side length to calculate

What this tool does

  • Compute the area of a hexagonal tile, honeycomb panel or nut face and get the apothem and diagonals for layout.
  • Check single-cell dimensions and circumradius when building a honeycomb or hex grid.
  • Verify the formulas: area 3√3/2·a², apothem √3/2·a, circumradius a.

Example

Input

2

Output

边长 2 的正六边形面积:10.392305
周长 6a:12
边心距 √3/2·a:1.732051
外接圆半径 a:2
短对角线 √3·a:3.464102
长对角线 2a:4
长度单位 u,面积 u²,体积 u³

For side 1 the area is 3√3/2 ≈ 2.598076, the perimeter 6, the apothem √3/2 ≈ 0.866025, the circumradius 1, the short diagonal √3 ≈ 1.732051 and the long diagonal 2 — all canonical.

Frequently asked questions

Why is a regular hexagon six equilateral triangles?

The centre-to-vertex distance equals the side length, so the hexagon splits into six equilateral triangles of side a: 6 × √3/4·a² = 3√3/2·a².

Apothem versus circumradius?

The circumradius is the centre-to-vertex distance and equals the side a; the apothem is the centre-to-edge distance, √3/2·a ≈ 0.866a. Honeycomb layouts use the apothem for row offsets.

Why are there two diagonals?

A regular hexagon has two distinct diagonals: the short one √3·a (skipping one vertex) and the long one 2a (skipping two, i.e. the diameter).

Keywords:正六边形面积hexagon area六边形边心距几何计算蜂窝

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