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Greenville is a city in and county seat of Darke County, Ohio, United States. The population was 13,227 at the 2010 census.HistoryGreenville is the historic location of Fort Greeneville, which was built in 1793 by General Anthony Wayne's soldiers during the Northwest Indian War. Named for Revolutionary War hero Nathaniel Greene, its defenses covered about 55acre, which made it the largest wooden fort in North America. Two years later, the Treaty of Greenville was signed at the fort on August 3, 1795, bringing an end to the Indian wars in the area and opening the Northwest Territory for settlement. Fort Greenville was abandoned in 1796, and the town Greenville soon grew up on the site.GeographyGreenville is located at .According to the United States Census Bureau, the city has a total area of 6.66sqmi, of which 6.60sqmi is land and 0.06sqmi is water.Local airports include Darke County Airport, seven miles away in Versailles and James M. Cox Dayton International Airport 35 miles away in Vandalia.General informationGreenville is home to The Great Darke County Fair which runs for nine days in August. Greenville is also home to KitchenAid small appliances.