The City of Sheridan is a Home Rule Municipality in Arapahoe County, Colorado, United States. The population was 5,664 at the 2010 census.
Sheridan is located at 39°38′56″N 105°1′4″W (39.648920, -105.017681).
According to the United States Census Bureau, the city has a total area of 2.3 square miles (5.9 km2), of which 2.2 square miles (5.7 km2) is land and 0.077 square miles (0.2 km2), or 2.91%, is water.
As of the census of 2000, there were 5,600 people, 2,236 households, and 1,372 families residing in the city. The population density was 2,543.4 people per square mile (982.8/km2). There were 2,395 housing units at an average density of 1,087.8 per square mile (420.3/km2). The racial makeup of the city was 77.00% White, 1.88% African American, 2.20% Native American, 1.68% Asian, 0.07% Pacific Islander, 12.54% from other races, and 4.64% from two or more races. Hispanic or Latino of any race were 32.52% of the population.
There were 2,236 households, out of which 30.3% had children under the age of 18 living with them, 39.9% were married couples living together, 15.2% had a female householder with no husband present, and 38.6% were non-families. 31.7% of all households were made up of individuals, and 12.5% had someone living alone who was 65 years of age or older. The average household size was 2.50 and the average family size was 3.14.
In the city, the population was spread out, with 26.2% under the age of 18, 10.1% from 18 to 24, 30.5% from 25 to 44, 20.6% from 45 to 64, and 12.6% who were 65 years of age or older.