# Area of Epicycloid and Hypocycloid

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This Demonstration shows that the area under the first hump of a epicycloid is when the radii of the generating circle and greater circle are and respectively. When you slide the "roll" slider, slices form a circle of radius and a circular hole of radius . Therefore the area is the difference of areas of the two circles. In other words, .

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Contributed by: Okay Arik (March 2011)

Open content licensed under CC BY-NC-SA

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