My Math Forum > Math Isn't every n-gon inscribed in a given circle constructible?
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 January 22nd, 2016, 01:53 PM #1 Newbie   Joined: Jan 2016 From: Australia Posts: 1 Thanks: 0 Isn't every n-gon inscribed in a given circle constructible? Can't you just construct a line that is 6 times the radius of the circle. Then n-sect the line and use the length of the section as the side length of your n-gon?
 January 22nd, 2016, 04:22 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2207 No.
 January 23rd, 2016, 12:25 PM #3 Newbie   Joined: Jan 2016 From: England Posts: 24 Thanks: 0 If you do 360/n then draw radii separated by angle 360/n then connect the ends you have your n-gon
 January 23rd, 2016, 01:49 PM #4 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 717 "Constructible" usually means by ruler and compass. To get an arbitrary angle you need a protractor.

 Tags circle, constructible, construction, geometry, inscribed, ngon

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