May be you need like this
$distancestores = $result->as_array();
foreach($distancestores as $distancestore)
{
?>
<label class="shortLabel">
<input type="radio" name="distance" value="10"
<?php if ($distancestore['value'] == '10') echo "checked='checked'"; ?> />
10 <?php echo $dict->transl('distance_km'); ?>
</label>
<?php
}