A family of Microsoft word processing software products for creating web, email, and print documents.
In Word 2011 the Styles pane, itself, is contained in the Toolbox, which is toggled on/off by the Toolbox button on the Standard Toolbar or by selecting View> Toolbox> Styles in the main menu.
If you actually do mean the Style Area, it displays only in Draft View & Outline View. If using Print Layout or any other view, switch to either of those 2. If the Style Area still isn't displayed go to Word> Preferences> View then set the Style Area Width to any value greater than zero.