Probably just one for the goats. Goats like to be in a small area.
Depends on the type of land - lush grass, scrub, forested. If you plan to feed them just grains and feed then you can fit as many as you can house and pay for the feed.
If you plan to feed them mostly browse then the moister and more weed heavy (less tall grass) the quicker they will develop issues with worms from eating in the same place and chewing closer to the ground where other goats have pooped. This process turbo charges the worms and quickly leaves the goats sickly and prone to other illnesses.
1 pair of goats per acre is fine in dry lush grassland and dense forested browse areas especially if you plan to supplement with grain and feed which is fed off the ground so they don't recycle and turbo charge the parasite worms.
Good fecal count analysis and worm management will make this process more flexible.
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It depends on the type of pasture you have, the breed of goat, the stage of growth of the goat, whether you are supplementary feeding and your rainfall and how often you want to drench your goats for worms - probably an acre per goatPotential stocking rate (DSE/ha) = [(Annual rainfall mm - 250) x 1.3] / 25.
640 acres per square mile so 0.198 square miles.
2.471 acres per hectare
A square with an area of 4 acres has sides of 417.42-ft in length. (rounded)
644 acres per square mile... 5200 acres = 8.125 sq miles or 8 1/8 . or a square with 2.85 miles on each side.