## 05AB1E, 3 bytes ##

    žs¤

**Explained**

    žs   # push pi to N digits
      ¤  # get last digit

[Try it online](http://05ab1e.tryitonline.net/#code=xb5zwqQ&input=MTAwMDE)

Uses 1-based indexing.<br>
Supports up to 100k digits.