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>360n</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

Convex polygon.png

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 $180^{\circ}$. These internal angles sum to $180(n-2)$ 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 $\frac{ns^2*\tan{(90-\frac{180}{n})}}{4}$

All external angles are less than $180^{\circ}$. These external angles sum to $360$.

See also

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