How can the radio button selection be used to pass specific data (e.g., city, coordinates) from a dynamically generated list to a processing script in PHP?

To pass specific data from a dynamically generated list using radio buttons to a processing script in PHP, you can use JavaScript to capture the selected radio button value and then send it to the processing script via an AJAX request. The processing script can then use this data to perform the necessary operations.

```php
// HTML code with dynamically generated radio buttons
<form id="cityForm">
    <?php
    // Loop through dynamically generated list of cities
    foreach ($cities as $city) {
        echo '<input type="radio" name="city" value="' . $city['name'] . '">' . $city['name'] . '<br>';
    }
    ?>
    <button type="button" onclick="sendData()">Submit</button>
</form>

<script>
function sendData() {
    var selectedCity = document.querySelector('input[name="city"]:checked').value;
    
    var xhr = new XMLHttpRequest();
    xhr.open('POST', 'processing_script.php', true);
    xhr.setRequestHeader('Content-Type', 'application/x-www-form-urlencoded');
    xhr.onreadystatechange = function() {
        if (xhr.readyState === 4 && xhr.status === 200) {
            // Handle response from processing script
            console.log(xhr.responseText);
        }
    };
    xhr.send('city=' + selectedCity);
}
</script>
```

In this code snippet, we have a form with dynamically generated radio buttons for cities. When the user selects a city and clicks the submit button, the `sendData` function is called. This function captures the selected city value, sends it to the processing script `processing_script.php` via an AJAX POST request, and handles the response. The processing script can then use the received city data to perform further processing.