Saturday, February 26, 2011

Circle Chord Products GeoGebra Applet

This is a GeoGebra applet created to verify a conjecture by Sam about the product of chords in a circle using GeoGebra. I first heard of it on the post Exasperating Problem. It is reposted here for a fellow math teacher.
Consider the unit circle x2+y2=1. Plot n equally spaced points on the circle starting from (1,0). Now draw the n-1 chords from (1,0) to the others. What is the product of the lengths of all of these chords?
If you like more precision, go to "Options" -> "Rounding" and select more decimal places. It is currently set to only 3 decimal places. As the number of chords increase, rounding errors begin to creep up.

Be sure to click the option boxes and drag the sliders around. If you'd like a copy for further experimentation, click on "File" and then "Save" to save a copy on your computer. Enjoy!

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Mr. H, Created with GeoGebra