The space a battle occupies depends on the range of the weapons of the combatants. A "battle" in this broader sense may be of long duration and take place over a large area, as in the case of the Battle of Britain or the Battle of the Atlantic.
The size of a battle depends on the weaponry used by the warring parties. Battles that span an extended period and cover a large geographical area are examples of this, such as the Battle of Britain or the Battle of the Atlantic.