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.

\sqrt{2}

1 + \dfrac{\sin(2)}{2}

\dfrac{\pi}{2}

\dfrac{\pi}{3}

1 solution

Yash Ghaghada
Nov 18, 2017

Actually it don't need calculus

The area of circle is (π)r^2, which can also be written as

{ the average length of chord. (∆)}×(the length of base ) here r=1

π = ∆×2 =≥ ∆=π/2

This is incoherent nonsense.

Hobart Pao - 3 years, 6 months ago

Why calculus?

1 solution

0 pending reports