Problem #38
When Mr. Garrison Teaches Geometry
A hexagon with area A and consecutive sides of lengths 8, 10, 8, 10, 12 and 12 is inscribed in a circle. Let N = 100*A, ignoring the decimal part which may be represented as x^k*y, where x, y, k > 1. Take Y as the average of all possible ys in the above expression and find the Y^{th} prime number.