Example form is linked to a database table, but won't be saved in this example.
When you submit the form, the value is presented with debug_dump(), so strings are quoted and array values listed.
<?php
$items = array(
'A' => 'Item A',
'B' => 'Item B',
'C' => 'Item C',
);
$field = new form_field_radios($form, 'Items');
$field->db_field_set('items');
$field->required_error_set('An item is required.');
// $value = $this->value_get();
// $value = $this->value_key_get();
?>