Area of Regular Polygons

Formula 1:

The a in the formula stands for apothem. the apothem is the perpendicular segment for the center to the side of the polygon

The p stands for the perimeter of the polygon

The A stands for the area of the entire polygon

Formula 2:

A= 1/2 nas

The n stands for the number of sides in the polygon

The a stands for the apothem

The s stands for the lenght of a side


Example:

1) A pentagon had an apothem of 3 inches. If a side measures 15 inches find the area

Formula 1:                                                                           Formula 2:
A=1/2 ap                                                                              A=1/2 nas
A= (1/2) (3) (75)                                                                  A= (1/2) (5) (3) (15)
A= 112.5 squ. in                                                                  A= 112.5 squ. in


You Try:

1) Find the area of a hexagon with an apothem of 6 and a side measuring 13

2) Find the apothem of a pentagon with an area of 115 and a perimeter of 5