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A fairly simple elementary school math problem ~ ~ ~ ~ ~ ~ ~ ~ ~
Relationship between meshing of two gears and circumference

Circumference of large gear/pinion = diameter of large gear/pinion =8/2=4.

That is, the big one turns around and the small one turns around.

As you can imagine, the distance from one point to one revolution on the big gear = the distance from one point to four revolutions on the small gear.