**Regular Polygon**

**(area, apothem, peak angle)**

**Formulae:**

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

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

Area: na^{2} /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)