@solarpop:
You are mixing two different solutions.
a. 1 panel, 3 radiobuttons, point events to same (radiobutton) event handler
b. 1 radiogroup, 3 items belonging to that radiogroup (property items), using a single event handler of the radiogroup.
If you wish to knw more about TRadioGroup, then see
this wiki page, then decide which solution you want to use.