agrar
agrarian
Concerning agriculture; related to agriculture. This adjective is almost always used before a noun.
Die Region hat einen starken agraren Sektor.
The region has a strong agrarian sector.

agrarian / agricultural
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agrarian
Concerning agriculture; related to agriculture. This adjective is almost always used before a noun.
Die Region hat einen starken agraren Sektor.
The region has a strong agrarian sector.

The adjective 'agrar' (agrarian/agricultural) is used almost exclusively before a noun, i.e. attributively. Using it as a stand-alone adjective after a verb, i.e. predicatively, is very unusual.
Die agrare Nutzung der Flächen hat in den letzten Jahren zugenommen.
The agricultural use of the land has increased in recent years.
'Agrar' (agrarian/agricultural) often forms fixed terms or compounds with other nouns. Common combinations are 'Agrarpolitik' (agricultural policy), 'Agrarsektor' (agricultural sector), 'Agrarindustrie' (agribusiness/agricultural industry), and 'Agrarprodukte' (agricultural products).
Die Agrarpolitik der EU wird oft und kontrovers diskutiert.
The EU's agricultural policy is often discussed controversially.
The word 'agrar' (agrarian/agricultural) belongs to technical and written language. It is often found in texts about economics, politics, or geography.
Der Bericht analysiert die Entwicklung des globalen Agrarhandels.
The report analyzes the development of global agricultural trade.
rural
'ländlich' and 'agrar' can both have to do with life outside the city. 'ländlich' generally describes places, landscapes, or surroundings in the countryside, for example villages, fields, and little city traffic. 'agrar' is narrower and refers directly to agriculture. It often comes before a noun, for example in expressions like 'agrarer Betrieb' (agricultural business) or 'agrar geprägte Region' (agriculturally shaped region). Learners may confuse the words because agriculture often takes place in the countryside. But not everything rural is automatically agricultural. For the surroundings, people usually say 'ländlich'; for agriculture, they say 'agrar'.

Die Zeitung berichtet über agrar geprägte Regionen im Norden.
The newspaper reports on agriculturally shaped regions in the north.
Die Familie sucht ein Haus in einer ländlichen Gegend.
The family is looking for a house in a rural area.