What term defines the area around a person that they claim as private space?

The correct term that defines the area around a person that they claim as private space is indeed "Personal space." This concept describes the physical distance that individuals maintain to feel comfortable and secure in social interactions. Personal space varies based on cultural norms, individual preferences, and the nature of the relationship between the people involved.

Understanding personal space is crucial in architecture and spatial design, as it influences how spaces are organized and how individuals interact within them. For instance, residential designs often incorporate private areas to enhance comfort and privacy, which reflects an understanding of personal space dynamics.

Proxemics, while related, is a broader term that studies how people use space in different social contexts, encompassing personal space as one of its elements. Public distance and social distance are specific types of spacing behaviors that occur during interactions but do not specifically refer to the private space that individuals claim for themselves.