# GoGeometry Action 6!

- Author:
- Tim Brzezinski

- Topic:
- Circle, Geometric Mean

Creation of this applet was inspired by a tweet from Antonio Gutierrez.
In this applet, the smaller circle is tangent to both the larger circle and the diameter of the larger circle.
Interact with this applet for a few minutes.
As you do, be sure to change the locations of any 1 (or more) of the

**LARGER WHITE POINTS.**How can you formally prove what this applet informally illustrates? (For an algebraic interpretation of the**length of the purple segment**, click here.)