Visualizing radians

Sam Shah shared a GeoGebra applet created by a colleage of his which does a beautiful job of demonstrating what a radian is. He wrote about it here. I made minor modifications, mostly so that the word radian doesn't actually appear. Here's that slightly modified version.

Radian measure practice

This is one of the simpler of a huge number of elegant GeoGebra creations from Daniel Mentrard. (Those available in HTML rather than Java are here.) You're given an angle which is some integer multiple of pi/12 and asked to place it on the appropriate place on a circle. You then push the test button to see if you've placed it correctly. You can choose between "Stage 1" and "Stage 2" problems. Stage 1 has only positive angles. Stage 2 includes negative angles.

Visualizing Radian Measure

Ted Coe's Unwrapping a Circle applet on GeoGebra Tube is a visually powerful way of demonstrating what a radian is. I've also posted a slight modification of the applet optimized for use as a demonstration.