Covering a wide area in terms of space, scope, or range; comprehensive and far-reaching. Can also describe someone who is open and communicative in manner.
From Latin 'expansus', past participle of 'expandere' meaning 'to spread out', from 'ex-' (out) + 'pandere' (to spread). The meaning broadened from physical spreading to include abstract concepts like personality traits and intellectual scope.
The Latin root 'pandere' also gives us 'panda' - not the bear, but the verb meaning 'to spread' that appears in 'propaganda' (things to be spread)! An expansive person literally 'spreads out' their thoughts and feelings to others.
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