Wiktionary
n. 1 (&lit area influence English) 2 (context military English) A geographical area wherein a commander is directly capable of influencing operations by maneuver or fire support systems normally under the commander’s command or control.
Usage examples of "area of influence".
Within twenty four months, if they continue on the path they are on right now, they will have strong mobility and logistic capability throughout their area of influence.
Welstiel had expected this as they entered Ubad's area of influence.
I gambled that you would recognize Alofmethbin and would run out of the area of influence of the gate before it could send you on.
This is experienced as a vessel moves into the area of influence of a grav wave and, even more strongly, in areas in which two or more grav waves impact upon one another.
He went on to detail the guild's area of influence, and the assassin was indeed surprised at how much Pook's grand old guild had frayed at the edges.