So really the koran says this:
"And tell the believing women to lower their gaze and protect their private parts and not to show off their adornment except only that which is apparent and to draw their veils all over Juyubihinna and not to reveal their adornment except to their husbands, their fathers, their husband's fathers, their sons, their husband's sons, their brothers or their brother's sons, or their sister's sons, or their women or the slaves whom their right hands possess, or old male servants who lack vigour, or small children who have no sense of the shame of sex. And let them not stamp their feet so as to reveal what they hide of their adornment. And all of you beg Allâh to forgive you all, O believers, that you may be successful."
I am sorry, but there is no requirement to wear the hijab here. This could just be read to not show your private parts, as in genitals, most of the west already does this.