trough vs concave shape

trough and concave shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
trough	Yes	No	No	No
concave shape	Yes	No	No	No

As nouns, concave shape is a hypernym of trough; that is, concave shape is a word with a broader meaning than trough:

Other hypernyms of trough include concavity, incurvation, incurvature.

trough (noun)	concave shape (noun)
a channel along the eaves or on the roof; collects and carries away rainwater	a shape that curves or bends inward
a container (usually in a barn or stable) from which cattle or horses feed
a long narrow shallow receptacle
a narrow depression (as in the earth or between ocean waves or in the ocean bed)
a treasury for government funds
a concave shape with an open top