According to the 2021 census gazetteer files, Kincaid has a total area of 0.82 square miles (2.12 km2), all land.

As of the 2020 census[6] there were 1,349 people, 643 households, and 383 families residing in the village.

There were 691 housing units at an average density of 845.78 per square mile (326.56/km2).

There were 643 households, out of which 17.3% had children under the age of 18 living with them, 48.06% were married couples living together, 6.84% had a female householder with no husband present, and 40.44% were non-families.

32.35% of all households were made up of individuals, and 13.53% had someone living alone who was 65 years of age or older.