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Fungrim entry: 464961

\pi = 2 \int_{-1}^{1} \sqrt{1 - {x}^{2}} \, dx

TeX:

\pi = 2 \int_{-1}^{1} \sqrt{1 - {x}^{2}} \, dx

Definitions:

Fungrim symbol	Notation	Short description
`Pi`	$\pi$	The constant pi (3.14...)
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`Sqrt`	$\sqrt{z}$	Principal square root
`Pow`	${a}^{b}$	Power

Source code for this entry:

Entry(ID("464961"),
    Formula(Equal(Pi, Mul(2, Integral(Sqrt(Sub(1, Pow(x, 2))), For(x, -1, 1))))))

Topics using this entry

Pi

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC