No Android facet found, issues compiling with Android Studio 0.2

At the toolbar left of the run and debug button there is a drop down. Select your project main activiy.

Add an android facet to your module by following below steps.

1) Go To File Menu -> Project Structure, or press (Ctrl+Alt+Shift+S) shortcut to open "Project Structure".

2) Select "Facets" which is under the "Project Settings" tab. (First column)

3) Click on "+" button which is at the top of the Second Column to add new facets.

4) Select "Android" facet from that "Add "menu which will prompt another dialog box to select a module. (Select a module to which you want to apply this facet).

5) Select your module and that's it. :)

Hope this will solve your problem.