distance vs distant

distance is a noun but distant is not a noun.

Word	Noun	Adjective	Verb	Adverb
distance	Yes	No	Yes	No
distant	No	Yes	No	No

distance (noun)	distant (noun)
the property created by the space between two objects or points
size of the gap between two places
indifference by personal withdrawal
a distant region
the interval between two times
a remote point in time

distance (adjective)	distant (adjective)
	separated in space or coming from or going to a distance
	far apart in relevance or relationship or kinship
	remote in manner
	located far away spatially
	separate or apart in time

distance (verb)	distant (verb)
go far ahead of
keep at a distance