# 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.
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