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Math 401 - Final Exam Mystery Cache

Hidden : 8/29/2004
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

This cache is the last in a series of four mathematical style caches. The cache is not located at the above coordinates. To determine its location, you must understand a few properties of one of our most basic shapes: the circle.

It is known that a circle can fit exactly to three points in two dimensional space. In other words, if you have three points on a piece of paper, you can draw a circle that will exactly intersect the three points. If you know the coordinates of the three points, you can also calculate where the centre of the circle is, and you can obtain its diameter.

To complete this cache you must first find the coordinates of the previous three caches in this series: Math 101 – Ancient Numerals (GCKDNX); Math 201 – Constants (GCKDP8); and Math 301 – Puzzles (GCKDQ4). Fit a circle to these three coordinates, locate the centre of the circle, and determine its diameter. You can do this graphically or by using equations. Note that graphical estimations may result in some errors. Take the diameter of this circle, in meters, and divide it by 24. Call this number X.

You will also need three two-digit numbers that are located on the containers of each of the three previous caches. Add these three numbers together and call the sum of the numbers Y.

The cache, a small camo'd lock 'n container, is located X meters from the centre of the circle at a bearing of Yº true.

The cache is loaded with 'takeables' no need to trade as these are your graduation gifts if you so desire.

The Math series was conceived, designed and implemented by team BKDD, I am merely maintaining their fine series.

Additional Hints (Decrypt)

Nobhg 5' bss gur tebhaq, pybfr gb gur gehax bs n gerr.

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)