contraception vs birth control

contraception and birth control both are nouns.

Word	Noun	Adjective	Verb	Adverb
contraception	Yes	No	No	No
birth control	Yes	No	No	No

As nouns, birth control is a hypernym of contraception; that is, birth control is a word with a broader meaning than contraception:

contraception: birth control by the use of devices (diaphragm or intrauterine device or condom) or drugs or surgery
birth control: limiting the number of children born

Other hypernyms of contraception include birth prevention, family planning.

contraception (noun)	birth control (noun)
birth control by the use of devices (diaphragm or intrauterine device or condom) or drugs or surgery	limiting the number of children born