An example of formal is a dinner party at a mansion where everyone dresses up in fancy clothes and is very polite.
An example of formal is when a judge gives official approval of something. Being in accord with established forms.
Electronic mail (email or e-mail) is a method of exchanging messages ("mail") between people using electronic devices.
An email was thus conceived as the electronic (digital) version of, or counterpart to, mail, at a time when "mail" meant only physical mail.
An email later became a ubiquitous (very widely used) communication medium, to the point that in current use, and e-mail address is often treated as a basic and necessary part of many processes.
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