Divide the circle

Geometry Level 3

Is it possible to divide a circle into congruent parts, such that at least one of these pieces doesn't contain the center of the circle?

The center of the circle does not lie on the boundary, or within this piece.

Yes, it is possible No, it is not possible

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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1 solution

Vijay Simha
Aug 9, 2017

Here is one solution:

In the above figure there are 6 congruent parts which do not contain the center.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

@Áron Bán-Szabó Can you respond to the reports? You need to define "contain the center" clearly.

In the "naive" interpretation, if the center does not lie in any of the congruent parts, then the circle is not divided into these congruent parts.

Calvin Lin Staff - 3 years, 9 months ago

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