North Smithfield is a town in Providence County, Rhode Island, United States, settled as a farming community in 1666 and incorporated into its present form in 1871. North Smithfield includes the historic villages of Forestdale, Primrose, Waterford, Branch Village, Union Village, Park Square, and Slatersville. The population was 11,967 at the 2010 census.GeographyAccording to the United States Census Bureau, the town has a total area of 24.7sqmi, of which, 24.0sqmi of it is land and 0.7sqmi of it (2.83%) is water. North Smithfield is in a New England upland region. The Branch River and Blackstone Rivers provided much of the power for the early mills in the town.