May 25th, 2017, 08:20 PM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,670 Thanks: 120 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, 08:28 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,476 Thanks: 495 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, 08:46 PM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,670 Thanks: 120 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.


Tags 
segments 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
initial segments  xianghu21  Applied Math  1  March 10th, 2010 10:53 PM 
Segments, posets  vaevictis59  Applied Math  0  March 7th, 2010 01:46 PM 
Overlap of line segments  Cheesy74  Algebra  4  November 17th, 2009 06:23 AM 