Solution 1:

In CSS, FontAwesome unicode works only when the correct font family is declared (version 4 or less):

font-family: "FontAwesome";
content: "\f066";

Update - Version 5 has different names:

Free

font-family: "Font Awesome 5 Free"

Pro

font-family: "Font Awesome 5 Pro"

Brands

font-family: "Font Awesome 5 Brands"

See this related answer: https://stackoverflow.com/a/48004111/2575724

As per comment (BuddyZ) some more info here https://fontawesome.com/how-to-use/on-the-desktop/setup/getting-started

Solution 2:

The escaped hex reference of  is \f066.

content: "\f066";

Solution 3:

Fileformat.info is a pretty good reference for this stuff. In your case, it's already in hex, so the hex value is f066. So you'd do:

content: "\f066";

Solution 4:

The code points used in icon font tricks are usually Private Use code points, which means that they have no generally defined meaning and should not be used in open information interchange, only by private agreement between interested parties. However, Private Use code points can be represented as any other Unicode value, e.g. in CSS using a notation like \f066, as others have answered. You can even enter the code point as such, if your document is UTF-8 encoded and you know how to type an arbitrary Unicode value by its number in your authoring environment (but of course it would normally be displayed using a symbol for an unknown character).

However, this is not the normal way of using icon fonts. Normally you use a CSS file provided with the font and use constructs like <span class="icon-resize-small">foo</span>. The CSS code will then take care of inserting the symbol at the start of the element, and you don’t need to know the code point number.