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Created with GeoGebra


The smaller circle, radius $r$, rolls around without slipping inside the circumference of the larger circle, radius $2r$.

$P$ is a point on the circumference of the smaller circle .

What is the locus of $P$?



NOTES AND BACKGROUND

This dynamic image is drawn using Geogebra, free software and very easy to use. You can download your own copy of Geogebra from http://www.geogebra.org.


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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