'limited area of' is a perfectly acceptable phrase to use in written English.
Consider this example sentence: The study focused on a limited area of the city to get an accurate representation of the population.
The major limitation of our study is the observation of the limited area of the right lobe.
Between 1972 and 1973, the telescope was used for "a detailed survey of the radio sources in a limited area of the sky … up to the sensitivity limit of the instrument".
Due to strong fragmentation and limited area of optimal habitats, distribution of large animals is in most cases limited to protected areas, often surrounded by farmlands and human settlements.
Highlands and Islands Airports Limited (HIAL) managing director Inglis Lyon said: "This was essentially a maritime incident which occurred outside the airport's limited area of responsibility, which is restricted to 1,000 metres.
She was happy, or at least not always _un_happy, in a limited area of the ship — the bar, the beauty salon, and her own cabin.
Room functions like a big womb, the space in many ways a true extension of a mother's body, a limited area of total closeness and care.
Shooting in low light often results in a low depth of field, meaning only a limited area of the photo can be in focus.
Local symptoms are physiological or structural changes within a limited area of host tissue, such as leaf spots, galls, and cankers.
We had small telescopes, each looking downward into a mirror that reflected a limited area of the sky, and we watched for a steady light crossing the sky in an unpredictable spot and at an unpredictable time.
They operate over a limited area of about 2,000 miles of road that Google has mapped in minute detail in California – a fraction of the total of 172,000 miles of public roads in the state.
In a limited area of marshy land that fostered concentrated populations, an unusual number of rich urban centers grew up in the 17th century — places with still resonant names like The Hague, Amsterdam, Haarlem and Delft.
