Hexagon Calculator

Calculate area, perimeter, diagonals, inradius, and circumradius of a regular hexagon from side length.

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Enter the side length of a regular hexagon to calculate all geometric properties including area, perimeter, diagonals, inradius, and circumradius.

Enter side length Provide the side length of a regular hexagon to see all its geometric properties.

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Geometry

Regular hexagon properties from side length

The hexagon calculator computes area, perimeter, diagonals, inradius, and circumradius of a regular hexagon from its side length.

Regular hexagon formulas

A regular hexagon has six equal sides and internal angles of 120 degrees. It can be divided into six equilateral triangles.

Area = (3 sqrt(3) / 2) * s^2. Perimeter = 6s. Long diagonal = 2s. Short diagonal = s * sqrt(3). Inradius (apothem) = s * sqrt(3) / 2. Circumradius = s.

A = (3 sqrt(3) / 2) s^2

Area from side length s.

Limitations

This calculator handles regular hexagons only. Irregular hexagons require individual side and angle measurements.

Frequently asked questions

What is the area of a hexagon with side 10?

Approximately 259.81 square units. A = (3 * sqrt(3) / 2) * 100 = 150 * sqrt(3) ≈ 259.81.

What is the difference between inradius and circumradius?

The inradius (apothem) is the distance from the centre to the middle of a side. The circumradius is the distance from the centre to a vertex. For a regular hexagon, circumradius = side length.

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