The distance across the diamond is 114.6 feet.
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The baseball term diamond is in reference to the object you would see if you drew a line from home plate to first base, first base to second base, second base to third base, and third base to home plate. Each of these lines would be the same length (90 feet), therefore, the object would look like a square if you were sitting down the left field or right field lines. But if you were sitting in center field or behind home plate, the object would look like a diamond. A diamond is really a square turned on it's side.
When a baseball is hit, the distance it will travel depends on its speed.
127 feet
The distance from home plate to first base in baseball is 90 feet.
It is the perpendicular distance.