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π Mystery Cache

Hidden : 3/9/2015
Difficulty:
2.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


You are looking for a camo'd chem tube. Please replace as found or better. No writing device, so bring your own. Be stealthy while grabbing the cache.



So everybody now maintains I do compose unknowns of a toilsome breed, mostly false.


Pi (π)


From mathsisfun.com


 

Draw a circle with a radius of 1.

The distance half way around the edge of the circle
will be 3.14159265... a number known as Pi


Or you could draw a circle with a diameter of 1.

Then the circumference (the distance all the way
around the edge of the circle) will be Pi

 

 

Pi  

Pi (the symbol is the Greek letter π) is:

The ratio of the Circumference
to the Diameter
of a Circle.

 

In fact π is approximately equal to:

3.14159265358979323846…

The digits go on and on with no pattern. π has been calculated to over two quadrillion decimal places and still there is no pattern to the digits


Example: You walk around a circle which has a diameter of 100m, how far have you walked?

Distance walked = Circumference = π × 100m = 314.159...m

= 314m (to the nearest m)

Approximation

A quick and easy approximation for π is 22/7

22/7 = 3.1428571...

But as you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number.

A better approximation (but stll not exact) is:

355/113 = 3.1415929...
(think "113355", then divide the "355" by the "113")

Remembering

I usually just remember "3.14159", but you can also count the letters of:

"May I have a large container of butter today"
3 1 4 1 5 9 2 6 5

To 100 Decimal Places

Here is π with the first 100 decimal places:

3.14159265358979323846264338327950288
4197169399375105820974944592307816
4062862089986280348253421170679...

 



You can validate your puzzle solution with certitude.

Congratulations on the FTF!

Additional Hints (No hints available.)