der Flügel
wing
The body part with which birds, insects, or bats fly.
Der Adler breitete seine mächtigen Flügel aus und erhob sich in die Luft.
The eagle spread its powerful wings and rose into the air.

wing / grand piano
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wing
The body part with which birds, insects, or bats fly.
Der Adler breitete seine mächtigen Flügel aus und erhob sich in die Luft.
The eagle spread its powerful wings and rose into the air.

Almost all meanings of 'Flügel' (wing) are based on the idea of a side part that extends from a central body. This idea connects the wing of a bird, an airplane, a building, and even a political party.
Der Vogel verletzt sich am Flügel und kann nicht mehr fliegen.
The bird injures its wing and can no longer fly.
The context makes the meaning clear. Verbs like 'fliegen' (to fly) or 'schlagen' (to beat/flap) point to animals or airplanes. Words like 'Gebäude' (building) or 'Schloss' (castle) point to architecture, and 'Partei' (party) to politics.
Der Vogel schlägt mit den Flügeln.
The bird flaps its wings.
When referring to an animal's wing, the typical verbs are 'mit den Flügeln schlagen' (to flap one's wings) and 'die Flügel ausbreiten' (to spread one's wings).
Der Schmetterling schlug sanft mit seinen bunten Flügeln.
The butterfly gently flapped its colorful wings.
For buildings, 'Flügel' (wing) is often combined with a compass direction to name a specific part. Typical examples are 'Nordflügel' (north wing), 'Südflügel' (south wing), 'Ostflügel' (east wing), and 'Westflügel' (west wing).
Die Ausstellung befindet sich im Ostflügel des Museums.
The exhibition is located in the east wing of the museum.
You can recognize the meaning 'Klavier' (piano) from verbs like 'spielen' (to play) or nouns like 'Konzert' (concert), 'Pianist' (pianist), or 'Tasten' (keys). The instrument is called this because its shape resembles a spread wing.
Er setzte sich an den Flügel und begann zu spielen.
He sat down at the grand piano and began to play.
In politics, 'Flügel' (wing) is almost always combined with a direction. People speak of the 'linken Flügel' (left wing), 'rechten Flügel' (right wing), or 'liberalen/konservativen Flügel' (liberal/conservative wing) of a party.
Der rechte Flügel der Fraktion lehnte den Kompromiss ab.
The right wing of the parliamentary group rejected the compromise.
In sports, especially soccer, 'Flügel' (wing) refers to the outside areas of the field. People often speak of the 'linken' (left) or 'rechten Flügel' (right wing) and of 'Flügelspielern' (wingers).
Der Angriff erfolgte über den rechten Flügel.
The attack came down the right wing.
warehouse / camp
'das Lager' and 'der Flügel' can both mean a group with a particular political or ideological direction. 'Lager' sounds broader: it often describes a larger side that stands opposed to another side, for example the left-wing and right-wing camps. 'Flügel' more often means a current within a party or organization. Learners may confuse the words because both are about political groups. As a guide: one 'Lager' often stands against another 'Lager'; a 'Flügel' is usually only one part of a larger group.

Der soziale Flügel der Partei fordert höhere Löhne.
The social wing of the party is calling for higher wages.
Nach der Wahl war das politische Lager der Regierung deutlich geschwächt.
After the election, the government's political camp was clearly weakened.