Planning a city size

When making a medieval city map, I always struggled with how big the starting map should be. I finally found some guidelines online that have helped with determining this, so I thought I'd share what I found works in general for me.
I got the math from an article "Medieval Demographics made easy" at http://www222.pair.com/sjohn/blueroom/demog.htm. Based on their math, here is a chart showing some general sizes, with corresponding size in acres, sq feet, sq miles. I also included the dimensions in feet of the map if you use a square map (X&Y are the same).

Of course, this is assuming that the city fills the entire map, so if you want any areas outside the city, just make it larger. You can always fudge the size if your city is more or less densely populated but I found this works as a good starting point.
PopulationSize in acresSize in sq feetSize in sq milesDimensions in feet
501435600.0015625209x209
1502871200.003125295x295
30052178000.0078125467x467
50083484800.0125590x590
750125227200.01875723x723
1000166969600.025835x835
20003314374800.05156251199x1199
50008235719200.1281251890x1890
750012454014400.193752324x2324
1000016571874000.25781252681x2681
20000329143312400.51406253786x3786
30000494215186400.7718754639x4639
50000824358934401.28755991x5991

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