#MATL, <s>11</s> 10 bytes

*1 byte saved thanks to @Luis*

	YPiEY$GH+)
	
This solution utilizes 1-based indexing
	
[**Try it Online**](http://matl.tryitonline.net/#code=WVBpRVkkR0grKQ&input=MTAwMDE)

[All test cases](http://matl.tryitonline.net/#code=YApZUGlFWSRAR0grKQpEVA&input=MQoyCjMKNAoxMQoxMDEKMTAwMQoxMDAwMQ)

**Explanation**

	YP	% Pre-defined literal for pi
	iE	% Grab the input and multiply by 2 (to ensure we have enough digits to work with)
	Y$	% Compute the first (iE) digits of pi and return as a string
	G	% Grab the input again
	H+	% Add 2 (to account for '3.') in the string
	)	% And get the digit at that location
		% Implicitly display the result