May 25th, 2017, 07:20 PM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,880 Thanks: 130 Math Focus: Trigonometry and Logarithm  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.

May 25th, 2017, 07:28 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,579 Thanks: 541 Math Focus: Yet to find out. 
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..

May 25th, 2017, 07:46 PM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,880 Thanks: 130 Math Focus: Trigonometry and Logarithm 
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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