What is the best approximation of pi?

22/7
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-known but much more mysterious rational approximation for pi: . The fraction 355/113 is incredibly close to pi, within a third of a millionth of the exact value.

What value is pie?

approximately 3.14
Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle’s size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

How did Isaac Newton calculate pi?

In 1666 Newton found Pi to sixteen decimal places by evaluating the first twenty-two terms of an infinite sum. Celebrate Pi Day with your students by following in Newton’s footsteps and doing the maths to derive his sum, or by evaluating many, many terms of the sum by hand, and getting an approximation for Pi.

What is Phi as a fraction?

7.1 Phi is not a fraction But Phi is a fraction .. it is (√5 + 1)/2. Here, by a fraction we mean a number fraction such as 2/3 or 17/24 or 12/7. The first is a proper fraction since it are less than 1. Also 5.61 is a fraction, a decimal fraction since it is 561/100, the ratio of a whole number and a power of ten.

How do you know if a fraction is infinite?

When the denominator of a fraction cannot be expressed as a product of ‘s and/or ‘s then the decimal expansion of the number will be infinite.

Which is closer to Pi 3748629 or 355 / 113?

If you have a good enough memory to remember the number 3748629, then you might find it handy to know that the following difference is even closer to pi: In other words, subtracting 1/3748259 from 355/113 will provide an approximation to pi that is well within 10 -14 of the true value.

What’s the difference between 355 and 113 in Islam?

So in short, the 113 is the Straight Path to GOD (Diameter) and the 355 is the number of days in a revolving Islamic year (Circumference). Now, to know that the Arabs used 22/7 while the Chinese used 355/113 only imply that the Chinese are more Muslim (Submissive to the Will of GOD) than the Arabs 🙂

Is the fraction 355 / 113 close to Pi?

The fraction 355/113 is incredibly close to pi, within a third of a millionth of the exact value. This level of accuracy is far beyond its rights as a fraction with such a small denominator, and it causes various oddities elsewhere in math. For example, use any scientific calculator to compute cos (355) in radians.