Easiest way (at least for me) to think about it is to notice that a hexagon is made up of six equilateral triangles. You say you know the distance between the two sides of the hexagon; we'll call that L. The height of each triangle is L/2. The triangles have angles of 60 degrees, so the base of each triangle is (L/2) / tan(60) * 2, or L/sqrt(3), because tan(60)=sqrt(3)/2. The area of each triangle is therefore L2/(2 sqrt(3)). You've got six of those, so the total area is 3 L2/sqrt(3), or sqrt(3)*L2.
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60 degrees
64 degrees because the total of the angles has to equal 360 degrees for it to be a hexagon.
360/6 = 60 degrees
A regular hexagon.
The interior angles of a regular hexagon measure 120° A regular hexagon has all sides the same length and all angles are equal.