$\pi$ Algorithm

I took a circle and a sector with $\theta$ very less about $\frac { 1 }{ { 10 }^{ 20 } }$ .

Using sine formula

$\frac { a }{ { sinx } } \quad =\quad \frac { r }{ sinb }$ ........................ (1)

Here b = $90-\frac { x }{ 2 }$

So sin b = cos $\frac { x }{ 2 }$

Equating in equation (1) I got

$\pi$ = $sin\frac { x }{ 2 } \cdot \frac { 360 }{ x }$

and putting the above value of $\frac { 1 }{ { 10 }^{ 20 } }$ for $x$ I Found

$\pi$ = 3.1415926535897932384626433832795

Please Reply If any STAFF member see this and loved this.

Easy Math Editor

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Comments

This is awesome but you can't copyright it. :D

Finn Hulse - 7 years, 2 months ago

Its outstanding........maybe this was how pi was discovered.....

manish bhargao - 7 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

\(\pi\) Algorithm

Comments