Arclength Formula | Derivation & Ex: Circumference of a Circle

Play along with the animations from the video with this DESMOS link, adjusting the sliders for n,a,b or even the function to see how we approximate the curve: https://www.desmos.com/calculator/h4rpjb8cz0

Description: We can use calculus to compute the arclength of differentiable curves. In this video we develop the formula from basic ideas of integral calculus. Then, knowing the formula, we apply it in a special case, computing the circumfrence of a circle. Of course we have long since memorized that formula, but isn't it nice to see it actually derived?

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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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Видео Arclength Formula | Derivation & Ex: Circumference of a Circle канала Dr. Trefor Bazett