Assume regular hexagon of side L.
Split the hexagon into 6 equilateral triangles. (A sketch would help here)
You need to find the height of the triangle to find it's area.
Split the triangle in half with a vertical line.
You now have 2 right angle triangles of base L/2 height h. Top angle 30 degrees, bottom angle 60 degrees.
L/(2h) = tan 30
h = L/(2tan 30)
h = root 3 L/2
Area of 1 equilateral triangle = 1/2 x L x h
= (root 3 x L2)/4
Area of hexagon = 6x(root 3 x L2)/4
Area of hexagon = 3x(root 3 x L2)/2
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The formula for a hexagon is 6x.5xsin(60)edge2 = 3xsin(60)edge2=2.598edge2.
There is no simple formula for the surface area of a general hexagon. The simplest solution is to partition it into triangles, calculate their areas and sum the results.
There is no standard formula. It is necessary to partition the irregular hexagon into more convenient shapes such as triangles and quadrilaterals, find their areas and sum the results.
Area of triangle = ½ base x altitude. Regular hexagon is 6 equal triangles so Area= 3 x base x altitude
We first need to assume it is a regular hexagon, otherwise the rules will not apply. If we let L be the length of one side of the hexagon, the the area A = 3(√(3))/2 multiplied by L2 or A=(3(√3)/2)×L2