Difference between revisions of "Convex polygon"
m (A little typo on the sum of the exterior angles. It should be 360 not 360n) |
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The area of a regular [[n-gon]] of side [[length]] s is <math>\frac{ns^2*\tan{(90-\frac{180}{n})}}{4}</math> | The area of a regular [[n-gon]] of side [[length]] s is <math>\frac{ns^2*\tan{(90-\frac{180}{n})}}{4}</math> | ||
| − | All [[external angle]]s are less than <math>180^{\circ}</math>. These external angles sum to <math> | + | All [[external angle]]s are less than <math>180^{\circ}</math>. These external angles sum to <math>360</math>. |
== See also == | == See also == | ||
* [[Concave polygon]] | * [[Concave polygon]] | ||
Revision as of 18:54, 6 November 2007
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 
All external angles are less than . These external angles sum to 
.
See also
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