SOLUTION: If the long width of a hexagon is 30m, what is the total area? I've tried working it out myself by I was taught to work it out from the short width and haven't been able to find

Question 1111171: If the long width of a hexagon is 30m, what is the total area?
I've tried working it out myself by I was taught to work it out from the short width and haven't been able to find a method for calculating it using the long width instead.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the long width of a hexagon is 30m, what is the total area?
I've tried working it out myself by I was taught to work it out from the short width and haven't been able to find a method for calculating it using the long width instead.
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By "long width" you probably mean across the vertices.
that's the radius, and or a hexagon it is the side length, s.
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For any regular polygon with n sides of length s,

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You could find the "short width," that's across the flats, and called the apothem using the fact that a hexagon is 6 equilateral triangles.
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I'm not in favor of memorizing formulas in general. Use the fact that it's 6 triangles (or another # for a different polygon).

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If I divide the hexagon into 6 equalateral
triangles, their sides will be m
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Next find the area of one of the equilateral triangles.

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To find the area of the hexagon:
m
I went over it twice, so I think it's right
You can use calculator from here

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