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## 'Orbiting Billiard Balls' printed from http://nrich.maths.org/

At what angle must the billiard ball be struck for it to return to its start position?

Your answer will depend on the length and breadth of the table, but does it depend on where the ball is to start with?

Don't be too quick to accept this diagram - what assumptions might it be useful to make about the rebound angles?

Now use that to draw your own diagram.