Understanding Pi: What Type of Number Is Pi?

Explore the fascinating nature of Pi (π), an irrational and transcendental number that can't be expressed as a simple fraction.

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Pi (π) is an irrational number, meaning it cannot be expressed as a simple fraction. It has an infinite number of non-repeating decimals. Pi is also a transcendental number, indicating it is not a root of any non-zero polynomial equation with rational coefficients.

FAQs & Answers

  1. What does it mean for pi to be an irrational number? An irrational number cannot be expressed as a simple fraction, meaning its decimal representation is infinite and non-repeating.
  2. Why is pi considered a transcendental number? Pi is considered transcendental because it is not a solution of any non-zero polynomial equation with rational coefficients.
  3. What are some applications of pi in real life? Pi is used in various real-life applications including calculating the circumference and area of circles, and in various fields like engineering and physics.
  4. How is pi commonly approximated? Pi is commonly approximated as 3.14 or 22/7, although these values are only estimates of its actual value.

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