So I am trying to figure out the square miles of my homebrew game world map but I drew it on hex paper and now I'm not sure how many square miles it is. I did a search online to find a conversion but all I could really find was an old forum thread that offered up a bunch of mathematical formulae for determining the area of a hex and debate to their accuracy for game purposes with no real answer.
Can anyone here help a brother out? If I can get an answer than hopefully other folks wandering about the interwebs with just such a problem will be able to find an answer as well.
What I am looking for is a simple means of calculating hex miles to square miles. If I have x number of hexes, each y number of miles across, my map is z number of square miles. That sort of thing, but a formulae that isn't too complicated and involving figuring the area based on the length of the sides and so on and so on geometry. Something the non mathies will be able to do. If a website with a calculator or such exists that would be great too.
The map I made for my homebrew world is 1,178 hexes large with each hex representing miles. How many square miles is my map?