Stage: 4 Challenge Level: 
A small circle is placed inside a square just touching the sides. The square is on top of a big circle with its vertices on the circle. Finally the big circle is on top of a trapezium which has its sides just touching the circle. Using the measurements and clue given, find the area of the trapezium.
Making and proving conjectures. Quadrilaterals. Working systematically. Interactivities. Mathematical reasoning & proof. Similarity. Trapezia. Circle theorems. Selecting and using information. Dynamic geometry.
Published March 2000.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk
