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!
Mr. H, Created with GeoGebra