die Disk
club
Colloquial short form for 'Diskothek' (nightclub); a venue where people can dance to music.
Treffen wir uns heute Abend in der neuen Disk in der Stadt?
Shall we meet this evening at the new club in town?

club / disk
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club
Colloquial short form for 'Diskothek' (nightclub); a venue where people can dance to music.
Treffen wir uns heute Abend in der neuen Disk in der Stadt?
Shall we meet this evening at the new club in town?

'Disk' is a colloquial short form. Depending on the context, it stands for 'die Diskothek' (nightclub, a place for dancing) or for 'die Diskette' (floppy disk, an old data storage medium).
Früher hat man Daten auf einer Disk gespeichert, heute nutzt man USB-Sticks.
In the past, people saved data on a disk; today they use USB sticks.
The word 'Disk' is colloquial in both meanings. The meaning 'Diskette' (floppy disk) is outdated today, since the technology is hardly used anymore. The meaning 'Diskothek' (nightclub) is still common.
Mein erster Computer hatte noch ein Laufwerk für eine Disk.
My first computer still had a drive for a disk.
When 'Disk' stands for 'Diskothek' (nightclub), it is often combined with verbs of movement or activity. Typical phrases are 'in die Disk gehen' (to go to the club), 'in der Disk tanzen' (to dance at the club), or 'sich vor der Disk treffen' (to meet in front of the club).
Wir gehen am Samstagabend mit Freunden in die Disk.
We're going to the club with friends on Saturday evening.
club
'Club' and 'Disk' can both mean a venue where people dance and listen to music. 'Club' is very common for this today and can also sound a bit more modern or more general. 'Disk' is a colloquial short form of 'Diskothek' and, depending on the situation, sounds more informal. The words can be confused because they can refer to the same type of place. In normal conversation, 'Club' is usually more natural; 'Disk' is understood as a casual short form, but it does not fit every context.

Früher sind sie oft in die Disk gegangen, wenn sie tanzen wollten.
In the past, they often went to the club when they wanted to dance.
Am Samstag waren wir in einem Club mit guter Musik.
On Saturday, we were at a club with good music.