The area of a polygon

Formula for calculating the area of a regular polygon by the sides and the length of each side:

S = N ⋅ a² / (4 ⋅ tg(180 / π)),

where N is the number of sides, a is the side length, π = constant equal to (3.14).

Formula for calculating the area of a regular polygon through the radius of an incircle:

S = N ⋅ r² ⋅ tg(180 / π),

where N is the number of sides, r is the radius of the inscribed circle, π = constant equal to (3.14).

Formula for calculating the area of a regular polygon through the radius of the circumcircle:

S = N ⋅ R² ⋅ sin(360 / π) / 2,

where N is the number of sides, R is the radius of the circumcircle, π = constant equal to (3.14).