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May 25th, 2017, 08:20 PM   #1
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Six Segments

If a circle has 6 segments, how many maximum parts which can be formed? I know that 1 segment makes 2 parts, 2 segments make 4 parts, and 3 segments makes 7 parts. Judging by the pattern, is the answer 22? What will the exact picture of the circle be? Thank you very much.
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May 25th, 2017, 08:28 PM   #2
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Can you define what you mean by segments and parts? Won't creating 2 segments on the circle give 3 parts, not 4? i.e., if you construct successive lines which segment the circle, you will have n+1 parts for n segments..
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May 25th, 2017, 08:46 PM   #3
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The maximum number of parts formed when we have 2 segments is four, because in this case both segments intersect each other.
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