Why calculus?Calculus Level 3
For a unit circle centered at \( (0,0) \), we draw \(n\) equally spaced chords parallel to the \(y\)-axis between \(x = -1\) and \(x = 1\). What is the limit of the average length of these chords as we let \(n\) tend to infinity?
Details and assumptions:
- Any argument of a trigonometric function in the answer choices is in radians.