≈Pi Mystery Cache
Hidden : 3/14/2013
Difficulty:
1.5 out of 5
Terrain:
3.5 out of 5

Size: Size: small (small)

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Geocache Description:


This cache is not at the posted coordinates!
Happy Pi Day everyone.  This is my latest cache celebrating Pi Day. I present a far easier puzzle this year, but you may find it challenging in other ways.

For thousands of years, from the ancient Egyptians to the Babylonians, mathematicians have been seeking out better approximations of Pi.  One of the earliest and most common approximations is 22/7, but this approximation is only accurate to three digits.  Far more accurate is the equation 9/5 + √9/5.  This equation is accurate to Pi +.0000481 or five digits.  Mathematicians have devised innumerable ways to approximate this irrational number.

To find this cache, solve the following incomplete equation to find a value of Pi accurate to 9 digits.

√238+√xyz-√1454 ≈ Pi + .00000000bac

Then substitute the missing values of the equation into the following coordinates.
 
N 42° 6.abc W 87° 52.xyz
 
As is tradition, I include a song about Pi by an obscure artist.  Pi r2 by Clint Mansell was composed for the odd and slightly creepy movie Pi.   

Additional Hints (Decrypt)

Rirelguvat nobhg guvf pnpur vf nccebkvzngr, ohg lbh znl jnag gb oevat guvf thl nybat: uggc://vzt.trbpnpuvat.pbz/pnpur/ynetr/6nn665n6-on66-4828-9sq4-so997q19o965.wct

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)


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