A Piece of Pastry! Circle Geometry Problem

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

A piece of pastry takes the shape of a sector of a circle.

The largest possible circle of pastry is removed from the sector.

Using algebra, show that, when the angle of the sector is 60°, the area of the green circle is 2/3 the area of the sector.


Created with GeoGebraShared by sevenquid
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