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The acronym "MOA" has two separate meanings in the United States Air Force: Military Operations Area, or Memorandum of Agreement.
The first, Military Operations Area, is airspace that is established for military use for routine training and testing flight maneuvers. MOAs are often positioned over rural areas containing farmland and few homes or schools, to mitigate the potential for loss of life in the event of a disaster.
The second, Memorandum of Agreement, is simply a formal document that sets forth terms and conditions that have been previously agreed upon. At least one party to an MOA must be a military agency; the MOA can exist between multiple military agencies, or between military and civilian agencies. Each party must agree to the terms of the MOA and abide by them.