Sorry, this page requires a Java-compatible web browser.
You may drag any of the red points, and the construction will adjust accordingly.

Explanation of the construction: If the radius of the original circle is r and the radius of the double-area circle is s, then we need pi*s^2 = 2*pi*r^2, or s = 2*sqrt(r). The Pythagorean Theorem gives that the hypoteneuse FB has length 2*sqrt(r).

This page uses JavaSketchpad.

Back to ruler and compass constructions main page.

Back to Ken Brakke's home page.

Susquehanna University assumes no responsibility for the content of this personal website. Please read the disclaimer.