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# $$\pi$$ 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

Note by Anand Raj
2 years, 10 months ago

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This is awesome but you can't copyright it. :D · 2 years, 9 months ago