# Ready for Billiard-style Mathematics?

Geometry Level 3

$$15$$ billiard balls are lying on a table in such a way that they are just crammed inside an equilateral triangular frame in a neat and perfect manner. Given that the frame's perimeter is $$876mm$$, determine the radius of a single billiard ball.

Details:

1. Record your answer in millimetres.

2. Answer can be given up to $$3$$ decimal places.

3. You may use a calculator to evaluate the final expression of the answer.

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