# Closest Approximation Of Pi

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### Pi Day: History Of Pi | Exploratorium

Learn about the long and rich history of π. The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of ... [ReadMore..]

### Approximations Of E And π: An Exploration

Fractional approximations of e are rarely mentioned in the mathematics literature. Eli Maor mentions in [3, p.37] that the closest rational approximation of ... [ReadMore..]

### Milü - Wikipedia

Milü (Chinese: 密率; pinyin: mìlǜ; "close ratio"), also known as Zulü (Zu's ratio), is the name given to an approximation to π (pi) found by Chinese ... [ReadMore..]

### Best Rational Approximations For Pi

It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation. For example, 3.14 = 314/100. But that's not the best approximation. Think of the denominator of your fraction as something you have to buy. If you have enough budget to buy a three-digit May 22, 2018 ... It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation. [ReadMore..]

### Pi | Pre-algebra Quiz - Quizizz

Preview this quiz on Quizizz. What number is pi? Which of these ratios is the closest approximation of pi? answer choices. 13/4. 16/5. [ReadMore..]

### Davidbau.com The Mystery Of 355/113

Mar 14, 2010 ... We all know that 22/7 is a very good approximation to pi. But this well-known fraction is is actually 1/791 larger than a slightly less-well- ... [ReadMore..]

### Nt.number Theory - A "better" Rational Approximation Of Pi ...

The closest memorable example I could find that's more accurate than 355/113 is (2143/22)^(1/4) using 8 digits to get 8 accurate decimal places of Pi, ... [ReadMore..]

### Rational Approximations To Pi

Jul 28, 1999 ... Everybody knows that 22/7ths is close to pi, but what's the next best one? A brief mathemetical review: a rational number is one that can be ... [ReadMore..]

### What Is The Best Fractional Representation Of Pi? | WIRED

Yes. Pi Day is over. Well, at least it is over for those of us that write the date as mm/dd/yy (called middle endian). However, there is another way to represent the date. Some people (ok, most people) use the dd/mm/yy format (called little endian). Really, I can see where they are coming from. This […] Mar 18, 2011 ... You can see out of these 50 fractions, 22/7 is the closest to Pi and not the last one (38/13). Ok, let me take this to the next level. Now I ... [ReadMore..]

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### Pi Approximations -- From Wolfram MathWorld

Convergents of the pi continued fractions are the simplest approximants to pi. The first few are given by 3, 22/7, 333/106, 355/113, 103993/33102, 104348/33215, ... (OEIS A002485 and A002486), which are good to 0, 2, 4, 6, 9, 9, 9, 10, 11, 11, 12, 13, ... (OEIS A114526) decimal digits, respectively. Two approximations follow from the near-identity function 3sinx/(2+cosx) evaluated at x=pi/4 and pi/8, giving pi approx (12)/7(2sqrt(2)-1) (1) approx ... Pi Approximations ; pi, approx, 8/3phi(2-sqrt(phi)) ; = 8/3(1+sqrt(5)-sqrt(2+sqrt ; = 3.14105... [ReadMore..]

### Solved I Am Writing A Matlab Code That Determines The | Chegg.com

... number of terms to get to the closest approximation of pi to the true value. ... develop a new function to calculate an estimate of pi for a specified ... [ReadMore..]