Adamsville is located at(33.590411, -86.949166).
According to the United States Census Bureau, the town has a total area of 19.6 square miles (51 km2), of which 19.6 square miles (51 km2) is land and 0.05% is water.
At the 2000 census, there were 4,965 people, 1,930 households and 1,464 families residing in the town. The population density was 253.2 per square mile (97.8/km²). There were 2,042 housing units at an average density of 104.2 per square mile (40.2/km²). The racial makeup of the town was 75.79% White, 22.82% Black or African American, 0.40% Native American, 0.14% Asian, 0.02% Pacific Islander, 0.16% from other races, and 0.66% from two or more races. 0.52% of the population were Hispanic or Latino of any race.
There were 1,930 households of which 32.1% had children under the age of 18 living with them, 59.1% were married couples living together, 13.5% had a female householder with no husband present, and 24.1% were non-families. 21.7% of all households were made up of individuals and 9.1% had someone living alone who was 65 years of age or older. The average household size was 2.56 and the average family size was 2.97.
23.1% of the population were under the age of 18, 8.0% from 18 to 24, 27.6% from 25 to 44, 25.1% from 45 to 64, and 16.1% who were 65 years of age or older. The median age was 39 years. For every 100 females there were 90.9 males. For every 100 females age 18 and over, there were 88.2 males.
The median household income was $39,563 and the median family income was $46,270. Males had a median income of $36,188 compared with $22,292 for females. The per capita income for the town was $18,496. About 5.1% of families and 6.4% of the population were below the poverty line, including 10.3% of those under age 18 and 9.1% of those age 65 or over.