Math and Arithmetic
Algebra
Geometry

# What is the area of a hexagon?

There is no general formula as it depends upon the exact shape of the hexagon. To calculate the area would involve splitting the hexagon into regions which are shapes for which the area can be calculated (eg triangles).

For a regular hexagon, it can be split up into 6 equilateral triangles by drawing in the three diagonals between opposite vertices - its area is then 6 times the areas of one of these triangles. If the side length is s, its area is given by:

height of one of the triangles is found by Pythagoras to be (√3)/2

s = 6 × (½ × s × (√3)/2 × s) = (3√3)/2 × s²

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If it's a regular hexagon, with side "t", the area is (3 x root(3) / 2) t squared, or approximately 2.598 t squared. If it's irregular, you can divide the hexagon into smaller figures, for example triangles, calculate their area, and add everything up.

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The answer depends on the exact shape of the hexagon.

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