# 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

*This article is a stub. Help us out by expanding it.*