What Is Pi (π)? Is It Infinite?

The video explores the significance of the Pi symbol in mathematics and its impact on human history. It discusses the discovery of Pi as a constant ratio of a circle's circumference to its diameter, first named by William Jones. Pi is an irrational and transcendental number, meaning its decimal expansion is infinite and non-repeating. Various methods have been developed to calculate Pi, with NASA using around 40 digits for scientific purposes. Pi's influence extends to modern technology, including quantum computing, and it is celebrated annually on Pi Day. The video highlights Pi's fundamental role in mathematics and its ongoing journey of discovery.

Which ancient mathematician was the first to use the symbol π to represent the ratio of a circle's circumference to its diameter?

• Archimedes

• William Jones

• Pythagoras

• Euclid

What characteristic of Pi makes it an irrational number?

• It is the root of an integer

• Its decimal expansion is finite

• Its decimal expansion is non-terminating and non-repeating

• It can be expressed as a fraction

Why is Pi considered a transcendental number?

• It is a rational number

• It is a whole number

• It is not the root of any non-zero polynomial with rational coefficients

• It can be expressed as a simple fraction

Which of the following series is NOT used to calculate Pi?

• Fibonacci series

• Newton series

• Leibnitz series

• Gregory series

What is celebrated on March 14th in honor of Pi?

• Pi Day

• Mathematics Day

• Circle Day

• Irrational Numbers Day