1. What is a Regular Hexagon?

A regular hexagon is a six-sided polygon where all sides are equal in length and all interior angles are equal (each measuring 120°). It's a common shape found in nature and human designs, from honeycombs to bolts.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( Perimeter \) — Total distance around the hexagon
• \( 6 \) — Number of sides in a hexagon

Explanation: Since all six sides of a regular hexagon are equal, dividing the total perimeter by 6 gives the length of one side.

3. Properties of Regular Hexagons

Details: Regular hexagons have several interesting properties: they can be divided into 6 equilateral triangles, they have rotational symmetry of order 6, and they can tile a plane without gaps (tessellation).

4. Using the Calculator

Tips: Enter the perimeter measurement in any consistent length units. The result will be in the same units. Perimeter must be a positive value.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for irregular hexagons?
A: No, this formula only applies to regular hexagons where all sides are equal. Irregular hexagons have sides of different lengths.

Q2: What if I know the area instead of perimeter?
A: For a regular hexagon, side length can also be calculated from area using the formula: \( Side = \sqrt{\frac{2Area}{3\sqrt{3}}} \)

Q3: What are common real-world applications of hexagons?
A: Hexagons are used in engineering (bolts, nuts), architecture (tiling), and nature (honeycombs, basalt columns) due to their strength and efficient use of space.

Q4: How is a hexagon different from other polygons?
A: A hexagon specifically has six sides. Regular hexagons have the unique property that the side length equals the radius of the circumscribed circle.

Q5: Can this calculator be used for 3D hexagons?
A: This calculator is for 2D regular hexagons. For 3D hexagonal prisms, additional dimensions would be needed.