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is a city in Loudon County, Tennessee, United States. Its population was 954 at the 2000 census. It is included in the Knoxville, Tennessee Metropolitan Statistical Area.
Greenback is located at (35.655751, -84.164898). The town is centered around the junction of Tennessee State Route 95 and Morganton Road, with the greater community extending to U.S. Route 411 to the south and U.S. Route 321 to the north.(Click for map )
According to the United States Census Bureau, the city has a total area of 7.2 square miles (18.7 km