Area of Epicycloid and Hypocycloid
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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, .
[more]
Contributed by: Okay Arik (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Permanent Citation