In Sanskrit, Aryana means a noble and pure woman. The name of a region in greater Persia might have been Ariana, Arianna, Aryanna, or Areyanna. But that is irrelevant of the meaning and origin of this name.
Meanings: The Sanskrit word that means "inexhaustible" is A-NN-YAA (अनà¥à¤¯à¤¾) based on the root A-NNN (अनà¥à¤¨) - which means food. That is not the same as AANYA at all. ... In addition some sources say that Anya - the original Russian name was based on "Hannah" (Hebrew) which means "with grace".