The Timeless Journey of Pi_ History & Importance.pptx

School presentation on the History of Pi

1. The Timeless Journey of Pi: History & Importance Welcome to our Pi Day celebration at TBS ! We'll explore Pi, a fundamental mathematical constant. Discover why we celebrate this number, a tribute to human mathematical ingenuity.

2. THE RATIO Pi (π) Pi (π) is the ratio of a circle's circumference to its diameter. It's approximately 3.14159 and is an irrational number. Join us on March 14th to celebrate Pi Day! Pi Explained Represents a constant ratio linking a circle's perimeter to its width. Irrationality Pi's decimal representation extends infinitely without repeating patterns.

3. Unveiling Pi (π) Pi (π) is the ratio of a circle's circumference to its diameter. It's approximately 3.14159 and is an irrational number. Join us on March 14th to celebrate Pi Day! Pi Explained Represents a constant ratio linking a circle's perimeter to its width. Irrationality Pi's decimal representation extends infinitely without repeating patterns.

4. Ancient Explorations of Pi The Babylonians (c. 2000 BC) approximated π ≈ 3.125. The Egyptians (c. 1650 BC) in the Rhind Papyrus, π ≈ 3.1605. These were early attempts to understand circular relationships. 1 Babylonians π ≈ 3.125 2 Egyptians π ≈ 3.1605

5. Archimedes & the Classical Era Archimedes (c. 250 BC) used inscribed and circumscribed polygons. He approximated Pi by polygons with increasing sides (96-sided). Archimedes' range: 3.1408 < π < 3.1429. Inscribed Polygon Place a polygon inside of the circle. Circumscribed Polygon Draw a polygon around the outside of the circle. Calculate Average Calculate the average of the areas of the 2 polygons.

6. Pi in the Medieval World Zu Chongzhi (5th century) π ≈ 3.1415929 (accurate to 7 decimal places). Aryabhata (5th century) was accurate to 4 places. Fibonacci introduced this to Europe (13th Century). Zu Chongzhi Achieved high accuracy for Pi's value in China. Aryabhata Contributed to precise approximations in India. Fibonacci Helped disseminate knowledge of Pi across Europe.

7. The Symbol π and Modern Calculations William Jones (1706) popularized π. Johann Heinrich Lambert (1761) proved π is irrational. Modern computers have calculated trillions of digits. Ludolph van Ceulen to 35. Jones Made the symbol well known. Lambert Provided proof that pi is irrational. Ceulen Dedicated much of his life to find 35 digits.

8. Pi in Mathematics & Physics In geometry, Pi is vital for area, circumference, and volumes. It's used in trigonometry with radians and functions. Pi is crucial in wave mechanics and electromagnetism. Geometry Vital for calculating dimensions and areas of circles. Physics Essential for wave mechanics and electromagnetism.

9. Pi in Everyday Life Engineers use Pi for bridge design and structural integrity. Navigation systems rely on Pi for accuracy. It's essential in signal processing and computer graphics. 1 Engineering Used for bridges and structure. 2 Navigation A key aspect for GPS. 3 Technology Critical for computer graphics.

10. Pi and Pop Culture We celebrate Pi Day on March 14th worldwide! There are references in films and books. Even music, like Kate Bush's "Pi." Pi has cultural significance. March 14th 1 Films and Books 2 Kate Bush 3 We celebrate Pi Day by baking and eating pie!

11. The Enduring Legacy of Pi Pi is a constant that transcends time and cultures. Its importance inspires exploration and application. Happy Pi Day! Explore the endless possibilities of mathematics! Transcendence Exploration Possibilities