Exploring π: Literature, Methods, and an Experiment for Precision Calculation

Background

The history of pi dates to early 1600 BCE. The earliest civilizations tried to find the value of pi using the ratio of circumference and diameter. Archimedes later developed a method to approximate pi by calculating the perimeters of inscribed and circumscribed polygons around a circle. Ludolph van Ceulen calculated pi to 35 decimal places using infinite series expansion. One famous probabilistic method for calculating pi is the Buffon’s Needle experiment. Since pi is such an important number for physics calculation, it can be found probabilistically using empirical experiments. 

Learning Outcome (LO)

  • LO #1: A literature review on the history of pi. Understanding the evolution of methods developed to calculate its value. 
  • LO #2: Designing an experiment and developing a method for calculating pi. 

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