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The area surrounding a city is typically referred to as the city's outskirts or suburbs.
The area surrounding a city is called its "suburbs." It's where people live when they want to be close to the city but not in the thick of it. So, if you want the hustle and bustle during the day but peace and quiet at night, head to the suburbs, honey.
A conurbation.
Providence County is divided into four Congressional districts: the 1st, 2nd, 4th, and 5th Congressional districts of Rhode Island. Each district represents different areas within Providence County, including parts of the city of Providence and surrounding suburbs.
A city and its surrounding suburbs together are commonly referred to as a metropolitan area.
A conurbation.
The outskirts or suburbs of a city.
Urban agglomeration
A large city and its surrounding suburbs are collectively referred to as a metropolitan area, or metro area for short. This term is used to describe a densely populated region that includes the urban core city and its outlying communities.
Large cities are divided into districts called "neighborhoods," "boroughs," "suburbs," or "wards." These districts help organize the city for administrative, geographical, or cultural purposes.
Surrounding areas are places that are near the particular place in question, but not part of that place. For example, the suburbs of a major city are not part of the city itself, but they are part of its "surrounding areas."
Pretty sure its Detroit and the surrounding suburbs...