Mathematics · Glossary

What is Pi (π)?

Quick definition

The ratio of a circle's circumference to its diameter. Approximately 3.14159, an irrational number.

Full explanation

Pi (π) is the ratio of a circle's circumference to its diameter, approximately 3.14159265358979. It is irrational (cannot be expressed as a fraction) and transcendental (not a root of any polynomial with integer coefficients). Pi has been calculated to over 100 trillion digits. It appears in formulas for circles, spheres, cylinders, trigonometry, Fourier transforms, normal distribution, and many areas of physics. Pi Day is celebrated on March 14 (3/14). Ancient cultures approximated pi as 22/7 (~3.143), 355/113 (~3.1415929 — accurate to 6 digits), and 3.1605 (Egyptians, ~1650 BC). For most practical purposes, 3.14159 is sufficient.

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Last reviewed: June 15, 2026 • Category: Mathematics