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Introduction & Overview History & Background Explanation of the Mathematics Significance and Applications References

References:

Borwein, J. M., & Chapman, S. T. (2015). I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly. American Mathematical Monthly, 122(3), 195-216. https://doi-org.dist.lib.usu.edu/10.4169/amer.math.monthly.122.03.195.

Dhakal, B. P. (n.d.). Area of Circle - GeoGebra. GeoGebra. Retrieved October 30, 2023, from https://www.geogebra.org/m/jzsxxnhq

Estimating Pi using the Monte Carlo Method. (2017, December 18). 101 Computing. Retrieved October 23, 2023, from https://www.101computing.net/estimating-pi-using-the-monte-carlo-method/.

Frequency and Period of Sinusoidal Functions. (2023, April 17). CK12-Foundation. Retrieved October 30, 2023, from https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/5.5/primary/lesson/frequency-and-period-of-sinusoidal-functions-pcalc/

Holecko, C. (2023, March 14). 21 Fascinating Facts Behind the Mystery of Pi. Reader's Digest. Retrieved October 30, 2023, from https://www.rd.com/list/pi-facts/

Jet Propulsion Laboratory. (2015, March 12). On Pi Day, How Scientists Use This Number. Jet Propulsion Laboratory. Retrieved October 30, 2023, from https://www.jpl.nasa.gov/news/on-pi-day-how-scientists-use-this-number

Khan Academy. (2012, November 19). Introduction to radians | Unit circle definition of trig functions | Trigonometry | Khan Academy [Video]. YouTube. https://www.youtube.com/watch?v=EnwWxMZVBeg&t=594s

MrYouMath. (2014, April 12). Taylor Series - 4 - Arctan and Pi [Video]. YouTube. https://www.youtube.com/watch?v=XBKGuIQK1Ek.

Safronov, P. (2005). Buffon's Needle. MSTE. Retrieved October 23, 2023, from https://mste.illinois.edu/activity/buffon/.

Sanchez, R., & Grant, S. (2015, March 17). Why Pi? It's a History Lesson All Its Own. University of Arizona News. Retrieved October 30, 2023, from https://news.arizona.edu/story/why-pi-it-s-a-history-lesson-all-its-own

Shah, S. (2016, June 5). Ten Real Life Applications of the Most Famous Number in the World, Pi. Green World Investor. Retrieved October 30, 2023, from https://www.greenworldinvestor.com/2016/06/05/life-is-weird-ten-real-life-applications-of-the-most-famous-number-in-the-world-pi/

The Editors of Encyclopaedia Britannica. (2023, September 4). Pi | Definition, Symbol, Number, & Facts. Britannica. Retrieved October 23, 2023, from https://www.britannica.com/science/pi-mathematics.

Theiler, J. (2021, October 2). 3 Ways to get close to Pi. Medium. Retrieved October 23, 2023, from https://medium.com/mlearning-ai/3-ways-to-get-close-to-pi-a94182502b5b.

Ye, X. (2016, March 14). The Long Search for the Value of Pi. Scientific American. Retrieved October 23, 2023, from https://www.scientificamerican.com/article/the-long-search-for-the-value-of-pi/.

Zhao, A. (2022, March 13). A brief history of pi. The Varsity. Retrieved October 23, 2023, from https://thevarsity.ca/2022/03/13/pi-day-2022/.