ENGLISH RESFEBE BOOK ABOUT PI

International Day of Mathematics 

The theme of the 2022 International Day of Mathematics is Mathematics Unites! The theme was proposed by Yuliya Nesterova, a graduate student from the University of Ottawa in Canada. She explains: "Mathematics is a common language we all have and a common subject with which to find one another."

 The International Day of Mathematics is celebrated on March 14th.

History of  π

Pi has been known for almost 4000 years.

Ancient civilizations knew that there was a fixed ratio of circumference to diameter that was approximately equal to three. The Greeks refined the process and Archimedes is credited with the first theoretical calculation of Pi.

                                                         LUMINITA MOISE

SCOALA SUPERIOARA COMERCIALA "NICOLAE KRETZULESCU", BUCHAREST, ROMANIA

History of  π

26th century BC.

Egyptian Great Pyramid 

of Giza and Meidum

 Pyramid.

3+1/7 = 22/7 = 3.142...

The ancient Egyptians knew better, pegging the ratio of the circumference to the diameter of a circle at 4 over 3 to the 4th power

History of  π

434 BC

 Anaxagoras attempted to square the circle with compass and straightedge.

Squaring the circle is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge

The expression "squaring the circle" is sometimes used as a metaphor for doing something logically or intuitively impossible.

History of  π

                      c. 250 BC

                                  Archimedes

Archimedes approximated the area of a circle by using the Pythagorean Theorem to find the areas of two regular polygons: the polygon inscribed within the circle and the polygon within which the circle was circumscribed.

History of  π

The Greek mathematician Archimedes used a fairly simple geometrical approach to estimate pi. 

Archimedes' method finds an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle (which is less than the circumference of the circle) and the perimeter of a polygon circumscribed outside a circle (which is greater than the circumference). The value of pi lies between those two lengths.

History of  π

Interesting Fact about PI

-We celobrate Pi day  at March 14 th and it is also Albert Einsteins's birthday.

-Pi is an irrational number. Irrational numbers are expressed as non-terminating, non repeating decimals; decimals that go on forever without repeating a pattern.

                        The First Technical School/Serbia

Interesting Fact about PI

 Pi is the ratio of the circumference of circle to the diametar. If you divide the circumference of any circle by diametar, you will always get exactly the same number PI.

Mathematicians use the symbol π to represent Pi. That makes the formula for the relationship of circumference of a circle to the diametar. 

The First Technical School/Serbia

 "Resfebe" for 14th March Pi Day

The First Technical School/Serbia

Calculating pi using probability

by the students of IES Iz`pisúa Belmonte (Spain)

Students get pi by throwing rice in a circle inscribed in a square.

Next pages show their explanations

The main objetive of this project is try to calculate π.
If a circle is inscribed inside a square the ratio of the area of the circle to the area of the circle to the area of the square will be π/4.
In terms of probability, this means that, if you pick N points at random inside the square, approximately N·π/4 of those points should fall inside the circle. So for calculating π, we have to calculate the quotient of grains inside the circle divided by the number of grains inside the square and then multiply by 4.

By Héctor Palencia

The objetive of this project was to calculate number pi. For doing this experiment we've done the following. First, we have been grouped in groups of four, after this our teacher has given us a box with a circle inside and a bag with rice. The next thing that we have done was to throw the grains of rice inside the box and shake the box. After this, we have counted the grains that landed outside the box and the ones which landed inside the box. After doing this for several times, wewrite the data on a table, we calculate the quotient and we multiply it by 4, after doing this for all the times we've done the experiment we calculate the mean of the results and that will be our estimation for number pi.

By Yolanda Carreres

The objective of this project was calculate pi using probability. We have an inscribed circle inside the square we use for this a pizza box so we have to throw the rice inside it and count the number of grains outside the circle. Then you have to divide the grains inside the circle by the number of grains inside the square, after that repeat the process 3 times. Then you have to divide the ratio of the area of the circle to the area on the square it will be π/4, so if we are talking about probability this means that, if we take random points inside the square the grains of rice should fall inside the square. So for calculating π, we need to calculate the quotient of grains inside the circle divided by the number of grains inside the square and then multiply the result by four.

By Ana Muñoz

Here you can read a numerical summary of this experience. The estimated final value for pi was 3,24

My students teamed up to make a human pi. The pi represented by the Greek letter "π", is an irrational number that has an infinite amount of decimal places. To this constant, directly or indirectly, we owe the advancement and realization of several discoveries made by science.

             Teacher: Ana Francisco

,,                          Agrupamento de Escolas de Pombal -Portugal

With the advancement of technology and the immersion algorithmic computing, it became possible to create programs that automatically generate the decimal places of the pi(π" number, with this advance it was possible to obtain 51,539,600,000 decimal places of this constant. This number was achieved thanks to the efforts of Yasumasa Kanada and Daisuke Takahashi of the University of Tokyo.

Inquisitiveness:

Rajan Srinivasan Mahadevan is an Indian who managed to memorize exactly the first 31,811 decimal places of number Pi (π). With this, he acquired the Guinness Book record becoming one of the greatest mnemonist of all time.

  ŞEHİT ÖMER HALİSDEMİR ANATOLIAN HIGH SCHOOL                                                                           TURKEY

 THE STUDENTS:

Ebru B.                                                       Nisan L.

Fatma E.                                                    İrem Ş.

Uğur Samet A.                                            Fatih A.

Yusuf B.                                                     Eda H.

      Esra ATALAY

      Teacher

ŞEHİT ÖMER HALİSDEMİR ANATOLIAN HIGH SCHOOL/TURKEY

...AND START THE GAME

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“Matei Basarab” Theoretical High School, Republic of Moldova

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THE ANSWER KEY

Thank to Şehit Ömer Halisdemir Anatolian High School's students for their contributing.

Our Pi-City 

in GoogleSheets

https://docs.google.com/spreadsheets/d/1YxtbZEoGiS20jC0mg0dp3QEsQXoId8KCCKtMbtUm9cM/edit?usp=sharing