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From UPSC perspective, the following things are important :
Prelims level: Pi, Sulbha Sutra
Mains level: NA
In the news
- March 14, or 3/14, is celebrated globally as Pi Day, paying homage to the mathematical constant Pi (π).
About Pi Day
- Initiated by: Physicist Larry Shaw of the Exploratorium museum in San Francisco started the tradition in 1988, which has since gained international recognition.
- UNESCO Designation: In 2019, UNESCO designated Pi Day as the International Day of Mathematics, highlighting its significance in promoting mathematical awareness.
What is Pi?
- Mathematical Constant: Pi (π) represents the ratio of a circle’s circumference to its diameter, with a value of approximately 3.14.
- Irrational Number: Pi is an irrational number, with a decimal representation that neither terminates nor repeats.
- Ancient Approximations: Ancient civilizations, including Babylonians and Egyptians, approximated Pi using geometric methods, laying the foundation for its calculation.
- Symbol of Beauty: Pi’s infinite and non-repeating decimal digits evoke a sense of wonder and appreciation for the intricacies of mathematics.
Do you know?
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Evolution of Pi Calculation
- Archimedes’ Method: Greek polymath Archimedes devised a method to approximate Pi using inscribed and circumscribed polygons, pioneering early calculations.
- Newton’s Contribution: Isaac Newton revolutionized Pi calculation using calculus, significantly simplifying the process and enabling rapid advancements.
- Modern Computing: With the aid of modern computers, mathematicians have calculated Pi to trillions of decimal places, facilitating precise scientific calculations.
Practical Significance of Pi
- Architectural and Engineering Applications: Pi plays a crucial role in designing structures, shaping engineering solutions, and facilitating accurate measurements.
- Understanding the Universe: Pi’s significance extends to diverse fields, from space exploration to molecular biology, underscoring its universal applicability.
- Intrinsic Value: Despite its vast decimal expansion, Pi holds intrinsic value as a symbol of mathematical beauty and infinity, inspiring exploration and discovery.
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