Length of an Arc of an Ellipse and the Area It Subtends

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This Demonstration computes the length of an arc of an ellipse and the area that the arc subtends. Let the semimajor and semiminor axes of the ellipse be and . The total length (the circumference) is given by , where is the complete elliptic integral of the second kind. If (the ellipse is a circle), the circumference is . The total area is .

Contributed by: Jaime Rangel-Mondragon (September 2013)
Open content licensed under CC BY-NC-SA


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