### Tuesday's Word: pi

The mathematical constant π is an irrational real number, approximately equal to 3.14159, which is the ratio of a circle's circumference to its diameter in Euclidean geometry, and has many uses in mathematics, physics, and engineering.

1 The letter π

2 Definition

3 Numerical value

The letter π

Main article: pi (letter)

The name of the Greek letter π is pi, and this spelling is used in typographical contexts where the Greek letter is not available or where its usage could be problematic. When referring to this constant, the symbol π is always pronounced like "pie" in English, the conventional English pronunciation of the letter.

The constant is named "π" because it is the first letter of the Greek words περιφέρεια 'periphery'[1] and περίμετρος 'perimeter', i.e. 'circumference'.

π is Unicode character U+03C0 ("Greek small letter pi").

Definition

Area of the circle = π × area of the shaded square

In Euclidean plane geometry, π is defined either as the ratio of a circle's circumference to its diameter, or as the ratio of a circle's area to the area of a square whose side is the radius. The constant π may be defined in other ways that avoid the concepts of arc length and area, for example as twice the smallest positive x for which cos(x) = 0.[2] The formulæ below illustrate other (equivalent) definitions.

Numerical value

The numerical value of π truncated to 50 decimal places is:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510

While the value of pi has been computed to billions of digits, practical science and engineering will rarely require more than 10 decimal places. As an example, computing the circumference of the Earth's equator from its radius using only 10 decimal places of pi yields an error of less than 0.2 millimeters. The exact value of π has an infinite decimal expansion: its decimal expansion never ends and does not repeat, since π is an irrational number (and indeed, a transcendental number). This infinite sequence of digits has fascinated mathematicians and laymen alike, and much effort over the last few centuries has been put into computing more digits and investigating the number's properties. Despite much analytical work, and supercomputer calculations that have determined over 1 trillion digits of π, no simple pattern in the digits has ever been found.

Bloggers, tomorrow is Pi Day! There is a club for Pi people. One may be certain they wouldn't have a dum blogger who counts on his fingers!

Wikipedia

Labels: Formulas

## 10 Comments:

i like pie... wait, what?

Me, too, Barbie...especially Key lime and pecan!

Mmmm, pie! apple!

Yes, apple, kiwi, and chocolate cream!

Pi day is a good thing. See this year it fell on the week of the ever so stressful Ohio Graduation Test exams. So it was nice to see the students able to relax and eat pie.

Would that adults could relax. This is a very busy week and so is the next.

Good luck to your students!

How about one piece of pumpkin, one of lemon meringue, one of banana cream and .14 of pecan?

Bloggers, Crabbi has the best idea yet! Thanks for reading, now let's eat!

My son had informed me it was National Pi day. I know he was hoping I'd make a pie but...I didn't.

My favorite will always be cherry.

Baking is time consuming, Mary. It seems your son will have to go to the bakery as art can't wait!

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