Regular Polygon

(area, apothem, peak angle)

 
No. of sides
Length of Each side
 
Perimeter
No. of diagonals
Peak angle in Degrees
Length of Apothem i.e. in-radius
Area
Circum-radius
Exterior Angle
Area of circle-(with circumradius)-1
Area of circle-(with apothem)-2
Area1/Area2
                      
   

Formulae:

no. of diagonals : n(n-3)/2 where n is the no. of sides

Peak angle (in degrees ) : 180(1 - 2/n)

Area: na2 /4tan(180/n) where 180/n is in degrees & a is length of each side

Apothem: a/2tan(180/n) ; where apothem is the perpendicular bisector from center to a side

Circum-radius:  apothem*sec (π/n)