Sidney is a town in Sharp County, Arkansas, United States. The population was 181 at the 2010 census.Sidney is located at 36°0′16″N 91°39′33″W / 36.00444°N 91.65917°W / 36.00444; -91.65917.According to the United States Census Bureau, the town has a total area of 2.2 square miles, all land.As of the census of 2000, there were 275 people, 80 households, and 58 families residing in the town. The population density was 126.4 inhabitants per square mile. There were 94 housing units at an average density of 43.2 per square mile. The racial makeup of the town was 97.09% White, 1.09% Native American, and 1.82% from two or more races. 0.73% of the population were Hispanic or Latino of any race.There were 80 households out of which 32.5% had children under the age of 18 living with them, 57.5% were married couples living together, 10.0% had a female householder with no husband present, and 27.5% were non-families. 26.3% of all households were made up of individuals and 13.