If there are five points on a circle. How many line segments can be drawn on it, but without overlapping the regions?
Geometry for Middle for schoolers (joining 5 points on a circle)
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geometry
circles
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0You may mean that the line segments join pairs of vertices (the $5$ given points), and that two line segments can only meet at a vertex. Then drawing a few picturs should convince one of the answer, even if in Middle School a proof is difficult to write down. – 2012-08-29
1 Answers
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The number of line segments you can draw, each segment joining two of the 5 points on a circle, no two segments intersecting except at the 5 points, is 7. The five line segments that join the 5 points in a convex pentagon can certainly be drawn, since they don't intersect any other line segments (except at the 5 points). Having drawn those 5 line segments, you can draw any 2 diagonals of the pentagon, but no more than 2.
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