The more you take away, the bigger I become, what am I?

Question

I am a word of three syllables, such that when you take away 5 letters, a male remains; if you take away 4 letters a female remains; if you take away 3 letters, a great man will appear; and the entire word shows you what Joan of Arc was.
Do you know me?

Answer 1

It's a hole.

Answer 2

I guess it is TAKE AWAY FOOD. The more I eat , the bigger I become