Chords Play What Role?

Geometry Level 4

Let C C be a center of a circle with radius 15 and let P P be a point inside the circle such that C P = 9 CP =9 . How many different chords with integral length can pass through the point P P ?


The answer is 12.

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1 solution

Jon Haussmann
Apr 29, 2016

There are 12 such chords. (Their lengths are marked below.)

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