The document discusses key concepts related to polygons, including calculating perimeter and area of regular polygons. It provides formulas for finding the perimeter, area, number of diagonals, triangles formed by diagonals from the same vertex, central angle, interior angle, and sum of interior angles of regular polygons.

1. Reporter:
Danlene Grace F. Molate

2.  Two of the most practical applications in polygon
deal with perimeter and area.
 Perimeter is the length around the boundary of a
closed two-dimensional region.
 Area is the amount of material that would be
needed to cover a surface completely.

3.  Perimeter: The perimeter P of a regular polygon
is
P=sn
where n is the number of sides and s is the
measure of one side.
 Area of a Regular Polygon: The area A of a regular
polygon with an apothem a is given by
or

4.  A regular polygon can be subdivided into
congruent isosceles triangles whose common lies
at the center of the polygon. Thus, the area of a
regular polygon is equal to the product of the area
of one triangle and the number of sides of the
polygon.
 Number of Diagonals in a Polygon:

5.  Number of Triangles Formed by Diagonals Drawn
Through the Same Vertex:
t = n-2
 Central Angle in a Regular Polygon:
 Each Interior Angle of a Regular Polygon:

6.  Sum of Interior Angles: