Circle ,Circle , Everywhere......

Geometry Level 1

What is the maximum number of circular discs of equal size which can be placed around a similar disc such that the central disc is touched by all the others but there is no overlap???


The answer is 6.

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2 solutions

When three discs touch each other, they form a triangle which has 6 0 0 60^{0} on each angle. Thus, the maximum number of circular discs around a similar disc is 6.
36 0 0 360^{0} maximum.

360 60 = 6 \frac{360}{60} = 6

Can you please explain it with the diagram

R.AMULRAJ raj - 1 year, 6 months ago
Supathat Sukaiem
Jun 5, 2014

After reading the question, I immediately think of hexagonal structure. Haha.. yeah .. I correct without any calculations.

after reading the question you immediately think of hexagonal. but y not heptagonal,octagonal etc please explain

Pushkar Mishra - 6 years ago

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