According to the United States Census Bureau,
Amherst has a total area of 39.3 square miles
(102 km2), of which, 39.0 square miles (101 km2)
of it is land and 0.3 square miles (0.78 km2) of
it (0.81%) is water.
the census of 2000, there were 230 people,
107 households, and 60 families residing in the
town. The population density was 5.9 people per
square mile (2.3/km˛). There were 153 housing
units at an average density of 3.9 per square
mile (1.5/km˛). The racial makeup of the town
was 98.26% White, 0.43% Native American, 0.43%
from other races, and 0.87% from two or more
races. Hispanic or Latino of any race were 0.43%
of the population.