Regular Polygon
Areas of plane figures
 
Deduce the formula for the area of a regular polygon.
 

Take the blue dot to the right.

The regular polygon will be split in equal triangles.

- What do the bases of these triangles together form?

- What is the perpendicular height of these triangles?

- What is the relation between the addition of the areas of the triangles and the area of the rectangle drawn in this window?

-With this information, deduce the formula for the area of a regular polygon. Write it down in your notebook.
       
           
  Eduardo Barbero Corral
 
Spanish Ministry of Education , Social Afairs and Sport. Year 2007
 
 

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