It has long been known that Buffon's needle experiments can be used to estimate . Three main factors influence these experiments: grid shape, grid density, and needle length. In statistical literature, several experiments depending on these factors have been designed to increase the efficiency of the estimators of and to use all the information as fully as possible. We wrote the package BuffonNeedle to carry out the most common forms of Buffon's needle experiments. In this article we review statistical aspects of the experiments, introduce the package BuffonNeedle, discuss the crossing probabilities and asymptotic variances of the estimators, and describe how to calculate them using Mathematica.