Can the sum of a finite series equal $\pi$? I'm assuming of course that no element in the series is some fraction of $\pi$. I'm wondering since all methods I've seen of calculating $\pi$ involve infinite series or infinte products or some limit as an index goes to infinity.
From Wikipedia I find that "π cannot be expressed using any finite combination of rational numbers and square roots or n-th roots". But what about a finite combination of other irrational numbers?