[23rd March 2025] Interesting Things I Learnt This Week

1. How Many Decimals of Pi Do We Really Need? - This article explains that even for NASA's highest accuracy calculations, such as interplanetary navigation, only a small number of pi's decimals are needed. For example, JPL uses pi to the 15th decimal place (3.141592653589793). The article illustrates this by calculating the circumference of Voyager 1's distance from Earth, the circumference of Earth, and even the circumference of the known universe, demonstrating that only a limited number of decimal places are necessary for accurate calculations, even at vast scales. My Take : We often get super excited about accuracy and going to crazy lengths to achieve it. But, honestly, for any everyday functional use of pi, having 3 digits after the decimal gives you really good accuracy, which is usually within the range of error from other stuff anyway. In fact, that article mentions 37 decimals would be enough to calculate the circumference of the observable universe with the ac...