# Area of Epicycloid and Hypocycloid

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