What is the meaning of the word "palm"?

Definitions:

a linear unit based on the length or width of the human hand noun
- The statue was sixteen palms high.
an award for winning a championship or commemorating some other event noun
- The palm was given out to the best film in the competition.
any plant of the family Palmae having an unbranched trunk crowned by large pinnate or palmate leaves noun
- There were many palms on the boulevard in California.
the inner surface of the hand from the wrist to the base of the fingers noun
- My palms were rough after handling bricks all day.
to take something into the palm of one's hand, usually for concealing or as part of a sleight-of-hand magic trick verb
- I palmed the card that the volunteer had chosen.
to touch, lift, or hold with the hands verb
- I palmed the flowers across the table.