Hex Areas
A lot of gamers use hex paper for maps, battle schematics, etc. Hexes are usually defined by how far across they are from one flat side to another. This is great for most purposes. Occasionally, however, you want to know the area of a set of hexagons. The formula, unfortunately, is a bit daunting for the non-mathematically inclined. Here's a simple table showing the area of various hex sizes:
The formula, in case you want to insert values that aren't on the table or want exact values, is: (6tan30*Distance^2) / 4.
Distance across hex | Area of hex (rounded) |
---|---|
1 | 1 |
2 | 3 |
3 | 8 |
4 | 14 |
5 | 22 |
6 | 31 |
7 | 42 |
8 | 55 |
9 | 70 |
10 | 87 |
15 | 195 |
20 | 346 |
25 | 541 |
30 | 779 |
35 | 1061 |
40 | 1386 |
42 | 1528 |
45 | 1754 |
50 | 2165 |
75 | 4871 |
100 | 8660 |
125 | 13532 |
150 | 19486 |
175 | 26522 |
200 | 34641 |
250 | 54127 |
500 | 216506 |
1000 | 866025 |
The formula, in case you want to insert values that aren't on the table or want exact values, is: (6tan30*Distance^2) / 4.
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