The half-moon icon is associated with Focus, an iPhone feature that silences notifications.
To turn on your Do Not Disturb Mode, you'll need to locate Focus Mode in your settings.
Here's everything you need to know:What the moon means on your iPhone and how to turn it offThe half-moon icon is associated with Focus, an iPhone feature that blocks iPhone notifications.
With Focus, there are more options when it comes to Do Not Disturb settings.
Here, you can customize Focus settings for different activities and times of day.