David Little  
Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 
Office: 403 McAllister Phone: (814) 8653329 Fax: (814) 8653735 email:dlittle@psu.edu 



The Area of a Circle
The following applet can be used to approximate the area of a unit circle by using regular polygons. The user may select between either inscribed or circumscribed polygons to approximate the area of the circle. The applet can also be used to graph the sequences of areas. Simply select the value of n and the applet automatically draws the appropriate regular nsided polygon and displays the area of the polygon. Historical Note: Archimedes (287212 B.C.) came up with this idea over two thousand years ago to approximate the value of π. By hand, Archimedes used regular 96gons to correctly approximate π to two decimal places.
© 2010 David P. Little Download this applet for offline viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems 