"You Are Now Entering the X Sector"

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Sector is a mathematical word meaning a portion of a circle bounded by two radii and an arc. This is the meaning used by the "X sector" signage in occupied Berlin, as the various Allied occupation zones approximate sectors about the city center:

Allied occupation in Berlin (1945-1990)

An earlier usage of "sector" to describe geographical areas would be the sector model of urban planning (1930s), where different types of land use are constrained to sectors radiating from a Central Business District. The advantage of this model is that the city can grow outwards in the same layout.

"Sector" has also been used metaphorically, as in "the sectors of the Hospitality industry". I believe this usage stems from the popularity of the pie chart, which dates to 1801.

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