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Interesting math problem that I saw on-line

Дата публикации: 06-10-2026 11:32:10



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  • Level: Undergrad 
  • Thread starter Thread starter Charles Link
  • Start date Start date Yesterday, 3:20 PM
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TL;DR
You have a 4 sided polygon inscribed in a circle. Chord lengths are 2,3,4,5 in any order. Find the radius of the circle. It is also of interest to work the same thing for chords of length 2,7, 11, and 14.
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For a hint on this problem, opposite angles of the 4 sided polygon add to ## \pi ## radians when inscribed in a circle.

Edit: I'm going to add to this, that if some people are stuck on it, that I didn't solve it instantaneously either. I was able to solve it though.

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I was just about to protest that it sounded more like an ellipse, but on my first read I mistakenly had the polygon on the outside!

EDIT: and now I’m not even sure if that makes any sense at all….

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