Problem: Investigate following equality:
Thanks.
My thorough investigation revealed that this is Vičte's formula. Now what?
You can define a circle to be a regular polygon with an infinite number of sides. We can define as the circumference of a circle of diameter equal to 1 unit. Therefore, we can get an approximation for by evaluating the perimeter of said regular polygon.
Some algebraic manipulation of this will give the result you are trying to prove.