You can use a bit of jQuery to achieve this quite easily.
HTML:
<input type="radio" name="radio" value="Something">Something
<input type="radio" name="radio" value="Something 2">Something 2
<input type="radio" name="radio" value="Something 3">Somethign 3
<textarea id="target"></textarea>
JS:
$(document).ready(function(){
$('input[name=radio]:radio').on('change', function() {
$('#target').val( $(this).val() );
});
});
http://jsfiddle.net/1an0p4z6/
----- Non jQuery -----
HTML:
<input type="radio" name="radio" class="radio" value="Something">Something
<input type="radio" name="radio" class="radio" value="Something 2">Something 2
<input type="radio" name="radio" class="radio" value="Something 3">Somethign 3
<textarea id="target"></textarea>
JS:
var buttons = document.querySelectorAll('.radio');
for( i=0; i<buttons.length; i++ ) {
buttons[i].addEventListener('change',function(){
document.querySelector('#target').value = this.value;
});
}
http://jsfiddle.net/jh10nf5e/1/