It depends on the dimensions of your orchard, but over a large tract should average to about 27 trees per acre.

If I could figure one square acre I'd be happy (my brother has some land in arkansas I would plant any excess on)

I know that normally it would be 27 per acre planting normally, but that number would be different using the method I linked to above. right?
I'm not really good at math obviously.

the numbers are too big to work on graph paper.

I come out at just over 27 trees per acre as well.

The trees are 40ft apart in both rows. Average row spacing is 23+57/2 = 40ft. So trees are on average 40ft by 40ft which equals 1600 sqft per tree. There are 43,560 sqft per acre. 43,560/1600 = 27.2 trees per acre.

If you are thinking about a one acre orchard then you might go 4 rows with 7 trees in each row. But you could do 6 rows of 4 or 5 trees in each row.

I will be planting closer to 30 or 35 I was just trying to figure one acre for simplicity