Pi (π)

★☆☆☆☆Elementary

📖Definition

π (pi) is the ratio of a circle's circumference to its diameter. It's irrational and transcendental, one of mathematics' most important constants.

π = (C)/(d) ≈ 3.14159265358979...

Definition of pi

A = π r²

Area of a circle

e^iπ + 1 = 0

Euler's identity

(π)/(4) = 1 - (1)/(3) + (1)/(5) - (1)/(7) + ...

Leibniz series

예제 1

Find the area and circumference of a circle with radius 5.

Discovered by: Ancient civilizations (Egypt, Babylon) (c. 2000 BCE)

Approximations known since antiquity; Archimedes systematically calculated it.

Circles, spheres, cylinders

Waves, oscillations, rotation

Normal distribution

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