Triangle Area - Two Points Moving Cyclically

Now we look at the nature of areas of a triangle as two of its three vertices move along a circle of radius 4, centered at the origin. You are given that:

A.) Point C and Point D both revolve around the circle, starting at (4, 0).
B.) Point C has a period of 5 seconds around the circle.
C.) Point D has a period of 4 seconds around the circle.
D.) Point E is fixed at (6, 5).

What is the maximum area achievable by triangle CDE, and when does that occur?

Mimi Yang, July 30, 2010, Created with GeoGebra