Building a capital city in a fantasy world

So I'm working on building a city in my world and I've run into an issue with scale/size. I have the general idea of how large the city will be (~8 km diameter) and I am having trouble coming up with a number of residents.

As for technology and resources, they have indoor plumbing, cobblestone roads, with most buildings being primarily stone. This city is a thriving center for trade and has abundant resources. Magic used in construction is possible, though limited. They do have access to glass and steel, but using large quantities is very expensive. And their knowledge of architecture is much like our own.

So, with these resources, how many people could comfortably live in a defined 8km space?

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Building a capital city in a fantasy world

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