![History of Pi (π)
• Presented by: Ansh Tomar
• Class: [Your Class]
• Subject: Mathematics
• School: [Your School Name]](https://image.slidesharecdn.com/historyofpipresentation-250705125110-5584e05c/85/History_of_Pi_Presentation-pptx-Mathematics-1-320.jpg)
History_of_Pi_Presentation.pptx Mathematics
- 1. History of Pi (π) • Presented by: Ansh Tomar • Class: [Your Class] • Subject: Mathematics • School: [Your School Name]
- 2. Introduction to Pi (π) • Pi (π) is the ratio of the circumference of a circle to its diameter. • Symbol: π • Approximate value: 3.14159... • It is an irrational number.
- 3. History and Discovery of Pi • • Used by Babylonians and Egyptians (~2000 BCE) • • Greek mathematician Archimedes approximated π using polygons • • The symbol π was first used by William Jones in 1706.
- 4. Ancient Approximations of Pi • • Babylonians: π ≈ 3.125 • • Egyptians: π ≈ 3.1605 (Rhind Papyrus) • • Archimedes: 3.1408 < π < 3.1429
- 5. Pi in Indian History • • Aryabhata (499 CE): π ≈ 3.1416 • • Madhava of Sangamagrama (14th century): Infinite series for π • • Important contributions to trigonometry and calculus.
- 6. Pi in Chinese History • • Zu Chongzhi (5th century): π ≈ 355/113 • • Highly accurate for the time • • Improved previous approximations.
- 7. Pi in Modern History • • Pi calculated to trillions of digits using computers • • Memorization records: Tens of thousands of digits • • Still no end to the digits!
- 8. Uses of Pi in Real Life • • Geometry: Circles, spheres, and volumes • • Engineering and construction • • Astronomy and physics • • Nature (waves, spirals, etc.)
- 9. Interesting Facts About Pi • • Pi Day: March 14 (3/14) • • π is irrational (non-repeating, non- terminating) • • π appears in many mathematical formulas • • It is used in quantum physics and cosmology
- 10. Conclusion • • Pi has fascinated mathematicians for centuries • • It connects ancient history with modern technology • • Pi continues to be a central number in mathematics