  We evaluate the multiple zeta values $\zeta(\{2\}^k)$ by proving a certain
factorization property. The proof uses a combinatorial bijection and elementary
telescoping series. We show how the infinite product for the sine function in
fact implies its power series and other trigonometric properties. We define two
constants, which we call pi-frequency and pi-amplitude, and show that they are
equal and satisfy the geometric definition of pi arising from the circumference
of the circle.
