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Chords in a circle - Liceul Teoretic Educational Center (Constanta - Roumanie)

Titre du sujet: 
Chords in a circle
Consider a circle divided by n chords in such a way that every chord intersects every other chord interior to the circle and no three chords intersect in a common point. Complete a table with the answer of the following questions: a) Into how many regions is the circle divided by the chords? b) How many points of intersection are there? c) Into how many segments do the chords divide one another? Is there a pattern?
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Sujet | by Dr. Radut