
die Fläche
area
A defined, usually flat space on the ground or on a surface, often with a measurable size.
Die Fläche des Grundstücks beträgt 500 Quadratmeter.
The area of the plot of land is 500 square meters.
area / surface
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area
A defined, usually flat space on the ground or on a surface, often with a measurable size.
Die Fläche des Grundstücks beträgt 500 Quadratmeter.
The area of the plot of land is 500 square meters.

surface
The outer, upper side of an object.
Bitte wische die Fläche des Tisches sauber.
Please wipe the surface of the table clean.

area
An extensive, open area, especially in a landscape.
Große landwirtschaftliche Flächen prägen die Region.
Large agricultural areas characterize the region.
'Die Fläche' (the area/surface) is the noun related to the adjective 'flach' (flat). A 'Fläche' is therefore an area characterized by its flatness.
Der Tisch ist ganz flach, du kannst alles darauf abstellen.
The table is completely flat; you can put everything on it.
'Fläche' (area/surface) is a very productive base word for compounds. Examples are 'Wohnfläche' (living space in an apartment), 'Oberfläche' (the outside surface of something), or 'Grünfläche' (a park or lawn/green space).
Die Oberfläche des Mars ist rot und staubig.
The surface of Mars is red and dusty.
When referring to a measurable size, 'Fläche' (area) is often used together with units of measurement such as 'Quadratmeter' (square meters, m²), 'Hektar' (hectares), or 'Quadratkilometer' (square kilometers, km²).
Für den neuen Teppich müssen wir die Fläche des Zimmers genau ausmessen.
For the new carpet, we have to measure the area of the room exactly.
area / field
Gebiet refers to a geographical area or region. Fläche, by contrast, focuses on the expanse itself and often on its measurable size. Gebiet is therefore suitable for location or regional boundaries, while Fläche is more suitable for size and spatial extent.

Die geschützte Fläche westlich des Sees umfasst zehn Hektar.
The protected area west of the lake covers ten hectares.
Das geschützte Gebiet liegt westlich des Sees.
The protected area lies west of the lake.