Pi DAY

3 - 14

PI DAY

On March 14th we celebrate Pi Day (3/14). But, what is Pi?

We identify Pi with the greek letter π (Pi) and is a number well known since the beginning of civilization.π represents the relationship between the length of a circumference and its diameter.

Some history

The ancient Egyptians already knew about this relationship. They assigned the value 256/81. The Babylonians also knew this number and assigned the value 3 + 1/8 .The Greeks came a little closer and used the value 377/120.In China an attempt was also made to give an approximation for π, Tsu Ch'ung Chi in the 5th century assigned the value 355/113.

Complete the table

Exercise 1

Complete the table

Exercise 1

Complete the table

Exercise 1

Complete the table

Exercise 1

Complete the table

Exercise 1

Complete the table

Exercise 1

Complete the table

Exercise 1

Exercise 2

The exact value of Pi is 3,141592653589793238462643383279…(it has infinite decimal digits, we only know 62 billions). Look at the table and decide which civilization used a better value for Pi.

Exercise 2

Exercise 2

Exercise 3

Where do the decimals from Pi come from?Use a string to measure the circumference. Cut the string. Use the rest of the string to measure the diameter.How many times does the string of the diameter enter the string of the circumference?

Exercise 4

Calculate your value of Pi. With a ruler measure the string of the diameter and the circumference of your circle. Divide the circumference between the diameter. Write the value:π = circumference : diameter =

Exercise 5: Soup letter

Find all the words: circumference, diameter, egyptians, babylonians, greeks, chinese, decimals, infinite, circle, skyline.With the left letters you will find five numbers. Write them in the boxes below and do the maths. You will get the value of Pi used by the Hindu at the VI century

100

100

100

100

62000

100

62000

100

20000

62000

100

20000

62000

100

[104 · 8 + 62000] : 20000

20000

62000

100

[832 + 62000] : 20000

[104 · 8 + 62000] : 20000

20000

62000

100

62832 : 20000

[832 + 62000] : 20000

[104 · 8 + 62000] : 20000

20000

62000

100

3,1416

62832 : 20000

[832 + 62000] : 20000

[104 · 8 + 62000] : 20000

20000

62000

100

Exercise 6: Pi Skyline

A skyline is the outline or shape viewed near the horizon. It can be created by a city's overall structure, or by human intervention in a rural setting, or in nature that is formed where the sky meets buildings or the land.With the decimals of Pi we can create our own skyline.