The distance varies based on the league. Baseball (NCAA and MLB) is 90 feet. Softball is between 60 and 90 feet, depending on underhand or overhand, or mens and womens.
This is because the rules of baseball say the mound is a distance from homeplate that is less than halfway the distance between homeplate and 2nd base. The distance is the same between each base in order (the same from home to 1st, 1st to 2nd, 2nd to 3rd, 3rd to home.) This results in the distance between homeplate and 2nd equal to the distance between 1st and 3rd. If you draw a line between homeplate and 2nd, and a line between 1st and 3rd, the lines will intersect in the center of the baseball diamond. However, the center point will be behind the pitcher's mound. You can use the Pythagorean Theorem to prove the distance from the mound to home is less than the center point, but that is another question. (Hint: The distance squared from home to first plus the distance squared from first to second divided by 2).
From home to first, first to second, etc.. the distance between bases is 90 feet. All the way around is 360 feet. But if you're asking what the distance is around a whole baseball field, each field is different. Some have much bigger fields than others. The only thing that is the same is the infield.
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