On pages 16 and 17 of the DMG three sizes of possible settlements are detailed: villages, towns and cities. Their respective sections give details about the size of their population amongst other things. On page 14 it's explained how to make a map at the province scale, where each hex represents 1 mile. This section even gives information about how much space is taken up by farmland around the settlements. However I couldn't find any mention of the area of a village, town or city itself on any of those pages.
This leaves me wondering, how much area a settlement takes up on a province scale map. I know, this is all subjective and depends on each individual settlement. I am just confused, why they would give us categories with population sizes, without mentioning a rough size of the settlement itself.
Is the answer just as simple as each settlement taking up 1 hex? If so, how large does a settlement's population have to be, for it to be larger than that?