Convex polygon: Difference between revisions
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* [[Concave polygon]] | * [[Concave polygon]] | ||
* [[Convex polyhedron]] | * [[Convex polyhedron]] | ||
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[[Category:Definition]] | [[Category:Definition]] | ||
Revision as of 09:11, 23 September 2007
| This is an AoPSWiki Word of the Week for Sep 20-26 |
A convex polygon is a polygon whose interior forms a convex set. That is, if any 2 points on the perimeter of the polygon are connected by a line segment, no point on that segment will be outside the polygon.
All internal angles of a convex polygon are less than 
. These internal angles sum to 
degrees.
The convex hull of a set of points also turns out to be the convex polygon with some or all of the points as its vertices.
The area of a regular n-gon of side length s is 
See also
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