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The phrase "area enclosed by" is correct and usable in written English.
It can be used in contexts related to geometry, land measurement, or any situation where a specific space is defined by boundaries.
Example: "The area enclosed by the fence is approximately 500 square meters."
Alternatives: "region bounded by" or "space defined by".
Exact(60)
Gradually, the hunters reduced the area enclosed by the flag line to trap the wolves.
Tympanum, plural tympana, in Classical architecture, the area enclosed by a pediment, whether triangular or segmental.
For a cyclic process the net work done equals the area enclosed by the complete cycle.
A better choice when weather permits is the wider garden area, enclosed by an arching Quonsetlike roof.
"And over here," she continued, walking toward an area enclosed by an iron fence, "is where the greenhouse will be".
The master's en-suite bathroom features a large walk-in shower-and-bathtub area enclosed by a glass door.
Dismore questioned the tactic of containing schoolchildren within a "kettle", an area enclosed by police, and said Stephenson should resist using language that could inflame unrest.
The term Loop is now sometimes used to refer to downtown Chicago generally, particularly the area enclosed by the Chicago River, Michigan Avenue, and Congress Parkway.
The Cariboo Mountains lie within an area enclosed by the great bend of the Fraser River and its tributary, the North Thompson.
Plateau problem, in calculus of variations, problem of finding the surface with minimal area enclosed by a given curve in three dimensions.
As we followed a guard into a holding area enclosed by a metal fence and topped with razor wire, the lawyer whispered, "They can hear everything you say here.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com