- #1
Agent Smith
- 44
- 3
- TL;DR Summary
- pi = 314/100 = 157/50, much easier to compute with than 22/7
As a high school student we were told to use ##\frac{22}{7}## as a rational approximation for ##\pi##.
However, to the same level of accuracy, ##\frac{314}{100} = \frac{157}{50}## is also ##\pi## and since there's a ##100## and a ##5## in the denominator many calculations would've been far easier than using ##\frac{22}{7}##.
Why then are we asked to use the more awkward approximation ##\frac{22}{7}##?
However, to the same level of accuracy, ##\frac{314}{100} = \frac{157}{50}## is also ##\pi## and since there's a ##100## and a ##5## in the denominator many calculations would've been far easier than using ##\frac{22}{7}##.
Why then are we asked to use the more awkward approximation ##\frac{22}{7}##?