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Square Foot Calculator 6 Sides

Calculate 6-sided polygon square footage from side length. Instant conversion to sq ft, m², sq yd, and acres. Free online tool.

Formula: Area = (6 × s² / 4) × cot(π/6)

6-Sided Polygon Calculator

Enter the side length of a regular 6-sided polygon (hexagon).

Total Area
0sq ft
Interactive Diagram s s s s s s 2.598 × s²

Regular hexagon with 6 equal sides.
Each interior angle = 120°.

6-Sided Shape Area Calculator — Square Footage Instantly

A regular 6-sided polygon (hexagon) has all 6 sides equal and all interior angles of 120°. Use this calculator to find the square footage of any regular hexagonal area instantly — gazebo floors, tile sections, garden beds, and more.

6-Sided Polygon Area Formula

Area (ft²) = (3√3 / 2) × s² ≈ 2.59808 × s²

Where s is the length of one side in feet. This formula only applies to regular hexagons. For irregular 6-sided shapes with unequal sides, use the irregular shape calculator.

Step-by-Step Instructions

  1. Measure one side of the regular hexagon in feet.
  2. Enter the side length in the calculator above.
  3. Select your unit — feet, inches, meters, cm, or yards.
  4. Click Calculate to get area in sq ft, sq m, sq yd, and acres.

Example Calculations

Example 1: Hexagonal Paver Section

A regular hexagonal section has sides of 5 feet each.

2.59808 × 5² = 2.59808 × 25 = 64.95 square feet (6.03 sq m)

Example 2: Gazebo Floor

A hexagonal gazebo has sides of 8 feet each.

2.59808 × 8² = 2.59808 × 64 = 166.28 square feet (15.45 sq m)

Common 6-Sided Shape Sizes — Reference Table

Side LengthArea (sq ft)Area (sq m)Area (sq yd)
2 ft10.39 sq ft0.97 m²1.15 sq yd
3 ft23.38 sq ft2.17 m²2.60 sq yd
4 ft41.57 sq ft3.86 m²4.62 sq yd
5 ft64.95 sq ft6.03 m²7.22 sq yd
6 ft93.53 sq ft8.69 m²10.39 sq yd
7 ft127.31 sq ft11.83 m²14.15 sq yd
8 ft166.28 sq ft15.45 m²18.48 sq yd
10 ft259.81 sq ft24.14 m²28.87 sq yd
12 ft374.12 sq ft34.76 m²41.57 sq yd

Where Are 6-Sided Shapes Used?

  • Gazebo and pavilion floors — determine decking, flooring, or concrete needed
  • Hexagonal tile patterns — calculate how many tiles for a floor or wall
  • Honeycomb garden beds — find soil, mulch, or sod needed
  • Outdoor paving sections — plan stone or paver quantities
  • Architectural designs — confirm floor space in hexagonal room plans
Common Questions

Frequently Asked Questions

How do I calculate the area of a 6-sided shape (hexagon)? +

For a regular hexagon where all 6 sides are equal, use Area ≈ 2.59808 × s², where s is the side length. Enter the side length above for instant results in sq ft, m², and more.

What is the area of a regular hexagon with 5 ft sides? +

Area = 2.59808 × 5² = 2.59808 × 25 = 64.95 square feet (6.03 sq m).

What is the area of a 6-sided shape with 8 ft sides? +

Area = 2.59808 × 8² = 2.59808 × 64 = 166.28 square feet (15.45 sq m).

What is a regular hexagon? +

A regular hexagon has 6 equal sides and all interior angles of 120° each. It can be divided into 6 equal equilateral triangles, which is why the formula uses the factor 2.59808.

What if my 6-sided shape is not regular (unequal sides)? +

If your hexagon has unequal sides, it is irregular. Use the irregular shape calculator with coordinate inputs for accurate results.

How many tiles do I need for a hexagonal area? +

Calculate the total area using this calculator. Then divide by the area of one tile, and add 10% for cuts and waste.