(drawn with 11 vertex count)

vertex count | n edge count | n (assuming n vertex count)

area | 1/4 n s^2 cot(π/n)≈0.25 n s^2 cot(3.14159/n) perimeter | n s central angle | (2 π)/n rad≈6.28319/n rad≈360/n° interior angle | ((n - 2) π)/n rad≈(3.14159 (n - 2))/n rad≈(180 (n - 2))/n° interior angle sum | (n - 2) π rad≈3.14159 (n - 2) rad≈180 (n - 2)° apothem | 1/2 s cot(π/n)≈0.5 s cot(3.14159/n) (assuming n vertex count, center (x_0, y_0), and edge length s)

n-cycle graph