Final answer:
A theatre-in-the-round or arena-style theatre is a type of theatrical space where the playing space is in the center of a square or circle, with seats for spectators all around.
Step-by-step explanation:
The type of theatrical space described in the question is called a theatre-in-the-round or arena-style theatre. In this type of space, the stage is located in the center of a square or circle, with seats for spectators surrounding it on all sides. This arrangement allows for a more intimate experience as the audience can see the action from multiple angles.
For example, in a theater-in-the-round, the audience could be seated in a circular formation around the stage. This setup creates a sense of closeness between the actors and the audience, as there are no clear boundaries between them.