Irregular Hexagon Area Calculator
Calculate the area of any irregular hexagon by entering six coordinate points. This calculator uses the shoelace formula to compute the exact area of a six-sided polygon where sides and angles may all be different. Commonly used for land plots, architectural floor plans, tile patterns, and complex geometry problems.
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Result
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Formula
How it works: The shoelace formula takes six coordinate pairs listed in order around the hexagon boundary, performs cross-multiplications of adjacent x and y values, and computes half the absolute difference of the two sums. Vertices must be entered sequentially (clockwise or counterclockwise) for correct results.
Worked Example
Frequently Asked Questions
Do all six vertices need to be entered in order?
Yes. The points must follow the hexagon boundary in sequence, either clockwise or counterclockwise. Entering them out of order will connect the wrong vertices and produce an incorrect area, or may create a self-intersecting shape.
What happens if edges cross each other?
If the vertex order creates a self-intersecting (bowtie) shape, the shoelace formula produces a signed area that may not represent the visual region you expect. Always ensure your vertices trace a simple (non-crossing) boundary.
Can I use this for a regular hexagon?
Yes, but a dedicated regular hexagon calculator only needs one measurement (side length). This tool is specifically designed for irregular hexagons where all six sides and angles can differ.
How is this different from the irregular pentagon calculator?
The only difference is the number of vertices: this calculator accepts six coordinate pairs instead of five. Both use the same shoelace formula. For polygons with more than six sides, you can extend the same method manually.
What units does the area use?
The area is in square units matching your coordinate system. If coordinates are in meters, the area is in square meters. If in feet, square feet. The calculator does not convert between unit systems.
Can I use this Irregular Hexagon Area Calculator on my own web page?
You can. Look for the "Embed" button near the top of this calculator. It lets you pick a size, border style, and color palette, then gives you an iframe tag to paste into any webpage. The widget is responsive, loads fast, and costs nothing. More details at calculory.com/services/embed-calculators.
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