Table 8 is just what you get if you have a calculator and a lot of time on your hands.
It is clear the area in in2 or MM2 in that table is just what you get when you compute the area of the circumscribed circle at the widest diameter, not the cumulative area of the strands.
The metric numbers are simply the calculated size, not any trade size you would find in a metric country.
It does make me wonder if there is some rounding going in in the actual wire since that is an international commodity. I know we can't really get 1/2" plywood anymore except for a few specialty suppliers. It is 12mm that they call 15/32 and most people think of as 1/2".
I guess I should get some wire and "mike" it.