REGULAR POLYGONS
Theorem:
The Area 
of a regular polygon whose 
has length 
and whose perimeter is 
Apothem and Radius of a regular Polygon:
THEOREMS:
An of a regular polygon is any line segment drawn from the center of that polygon perpendicular to one the sides.
A central angle of a regular polygon is an angle formed by two consecutive radii of the regular polygon.
The measure of the central angle of a regular polygon of 
sides is :
A radius of a regular polygon bisects the angle at the vertex to which it is drawn.
An apothem of a regular polygon bisects the side of the polygon to which it is drawn.
From the figure:
The apothem:
This yields:
The Radius
This gives us:
Or
Angles of a polygon:
The sum of the measures of the angles of a convex polygon of n sides is 
The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360.
Number of Diagonals in a polygon:
The total number of diagonals 
in a polygon of sides is given by:
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