Why turkey has the same name as Turkey
c.1300, "space, area, extent, circumference," from Old French compas "circle, radius, pair of compasses" (12c.), from compasser "to go around, measure, divide equally," from Vulgar Latin *compassare "to pace out" (source of Italian compassare, Spanish compasar), from Latin com- "together" (see com-) + passus "a step" (see pace (n.)).
The mathematical instrument so called from mid-14c. The mariners' directional tool (so called since early 15c.) took the name, perhaps, because it's round and has a point like the mathematical instrument. The word is in most European languages, with a mathematical sense in Romance, a nautical sense in Germanic, and both in English.
c.1300, "to devise, plan;" early 14c. as "to surround, contain, envelop, enclose;" from Anglo-French cumpasser, from compass (n.). Related: Compassed; compassing.