Since I made a point of retiring from Citizens of the Imperium in protest over the behavior of the Moderator for CotI, I found what looks to be an errata - but don't have any way to report it.

In a nutshell, Marc Miller on page 693 states that:

"

*Outright Ownership of one Local Hex (approximately 65 square km= 6500 hectares= 16,000 acres).*"

In digging further, I found that a local hex is supposed to be at a scale of 10 km from hex center to hex center, which in turn, implies that the width of a single local hex is 10 km wide (a line drawn from center to center of hexes goes through a side hex at its center of the line).

My quick and dirty formula for calculating the area of a circle is:

Find the width from face to face (ie side to side), and multiply that by 0.866, then multiply the two together to get your area.

For example, if your hex is nominally 25 miles wide from face to face, its area will be 25 * (25 * 0.86 = 21.5) = 537.5 square miles.

In digging deeper, I had to get the formula other than the one given above as:

Area of a hexagon is (3*(3^.5))/2 * length of Sides^2

An apothem (the line from the center of the hexagon making a perpendicular line bisecting the side of a hexagon) is = Sides/2tan(180/N) where N is number of sides in polygon (6 for a hexagon).

When you don't know the LENGTH of the sides of your hexagon, but the length of the Apothem, then the formula becomes:

Length of Sides = 2 * Tan(30) * Apothem length

Final formula then becomes:

3*(3^.5))/2 * (apothem*2*tan(30))^2

(note: if using excel, you have to use (tan(radians(degrees)) to get the proper tangent value in degrees.)

If anyone else here frequents CotI and reads this, could you please bring this up in the T5 Errata thread?

Thanks