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.
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
The area of a hexagon with 5 centimeter sides is 64.95cm2
The area of a hexagon with a given side of 20 is 1,039
The area of a hexagon with a given side of 20cm is 1039.2cm2
The area of a hexagon with a perimeter of 12 units is about 10.4 units2