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, known as "the Swiss Cheese Capital of the USA", is a city in and the county seat of Green County, Wisconsin, United States. The population, was 10,843 at the 2000 census. The city is located partially within the Town of Monroe and partially in the Town of Clarno.
Monroe is located at (42.598913, -89.641019). According to the United States Census Bureau, the city has a total area of 4.3 square miles (11.2 km²). None of the area is covered with water.