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Pi Tate Simkins Mrs. Smith 3 rd period pi = 3.14159265.

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Presentation on theme: "Pi Tate Simkins Mrs. Smith 3 rd period pi = 3.14159265."— Presentation transcript:

1 Pi Tate Simkins Mrs. Smith 3 rd period pi =

2 Where Pi Came From Pi originated from the Greek letter π(meaning perimeter) The value of π has been computed to more than a trillion digits. Because π is an irrational number, its decimal expansion never ends and does not repeat.

3 About Pi. By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it.

4 The area of a circle is pi times the square of the length of the radius, or "pi r squared"

5 When To Use Pi Pi is used in several mathematical calculations. The circumference of a circle can be found by multiplying the diameter by pi (c = pi X d). The area of a circle is yielded by multiplying pi by the radius squared (A = pi X r-squared). Pi is also used to calculate the area of a circle, and the volume of sphere or a cone.

6 “The Pi Guys” Pi was made popular by two men. First by William Jones in 1707, then popularized by Leonhard Euler in JonesEuler

7 Other Notable Pi Helpers Pi, Being an irrational number, cannot be written as the ratio of two integers. This was proven in 1761 by Johann Heinrich Lambert. In the 20th century, proofs were found that require no knowledge beyond integral calculus. One of those, due to Ivan Niven.

8 The First 1,000 Digits

9 Finding The Value Of Pi Early historians figured out that the ratio of circumference to diameter was the same for all circles. Pi = Circumference diameter

10 Pi Day Pi day is obviously on March 14, to represent Pi day is celebrated by school all over in math classes to recognize pi, a great part of math

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