direction vs formula

direction and formula both are nouns.

Word	Noun	Adjective	Verb	Adverb
direction	Yes	No	No	No
formula	Yes	No	No	No

As nouns, formula is a hyponym of direction; that is, formula is a word with a more specific, narrower meaning than direction:

direction (noun)	formula (noun)
the act of managing something	something regarded as a normative example
the act of setting and holding a course	(mathematics) a standard procedure for solving a class of mathematical problems
a general course along which something has a tendency to develop	a group of symbols that make a mathematical statement
the concentration of attention or energy on something	a conventionalized statement expressing some fundamental principle
something that provides direction or advice as to a decision or course of action	directions for making something
a formal statement of a command or injunction to do something	a representation of a substance using symbols for its constituent elements
a message describing how something is to be done	a liquid food for infants
a line leading to a place or point
the spatial relation between something and the course along which it points or moves