This is a prototype of **JavaSketchpad**, a World-Wide-Web component of *The Geometer's Sketchpad.* Copyright ©1990-1998 by Key Curriculum Press, Inc. All rights reserved. Portions of this work were funded by the National Science Foundation (awards DMI 9561674 & 9623018).

### Dr. Sarah's Java Sketchpad Worksheet

1. If the areas of polygons and a
circle are approximately equal, as
seen below, which figure has the smallest circumference or perimeter?

2. If the areas are approximately equal, what is the relationship
between the number of sides a figure has and the perimeter?

3. What is the radius of a circle with area exactly that of the area
of the square?

4. Why can't you drag point G in order to make the area of the circle
exactly equal to this? TRY THIS!!