Formulas in Polygons

Plane and Solid Geometry

1. FORMULAS IN POLYGONS 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: