How to Calculate the Area of a Hexagon

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A hexagon is a shape composed of six equilateral triangles. Accordingly, you can calculate a hexagon’s area by finding the area of the triangles and adding those areas together. Because the triangles are equilateral, you only need find the area of one triangle and multiply the result by six.

    Draw three lines within the hexagon. Starting at each vertex, or corner, of the hexagon, draw a line straight across to the vertex on the other side. The result will be a hexagon segmented into six equilateral triangles.

    Find the area of one triangle. Use the equation for the area of a triangle, A = (1/2)_b_h, in which b is the base length of the triangle, and h is the height. For example, if you have a hexagon with each side measuring 6 inches and with each inner triangle’s height measuring 5.2 inches, plug these numbers into the equation to get (1/2)_6_5.2. The result is the area of a single triangle within the hexagon: 15.6 inches.

    Multiply the area of the triangle by 6. This calculates the areas of all the triangles combined, thereby giving the area of the entire hexagon. In the example, multiply 15.6 by 6 to get 93.6 square inches as the answer.

    Tips

    • You can also multiply 1.5 by the square root of 3 and then multiple that product by the square of one side to get the area of the hexagon. Some instructors may want to see the area as a multiple of the square root of 3 rather than as a decimal.

References

About the Author

Having obtained a Master of Science in psychology in East Asia, Damon Verial has been applying his knowledge to related topics since 2010. Having written professionally since 2001, he has been featured in financial publications such as SafeHaven and the McMillian Portfolio. He also runs a financial newsletter at Stock Barometer.

Photo Credits

  • Alberto Masnovo/iStock/Getty Images

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