The Circle and the Annulus | Sumant's 1 page of Math

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The Circle and the Annulus

Posted on February 7, 2015 by Sumant Sumant

Let $C$ be a circle of radius $16$ and $A$ annulus having inner radius $2$ cm and outer radius $3$ cm. Now suppose a set $S$ of $650$ points is selected inside $C$ . Prove that, no matter how the points of $S$ may be scattered over $C$ , the annulus $A$ can be placed so that it covers at least $10$ of the points of $S$

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About Sumant Sumant

I love Math and I am always looking forward to collaborate with fellow learners. If you need help learning math then please do contact me.

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This entry was posted in Geometry, Pegion Hole and tagged Honsberger, Mathematical Morsels, Pigeon Hole. Bookmark the permalink.

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