Geometrical Properties of Circle

Diameter

d =   m

Area

A = π·d²4 m²

Centroid

z_c = y_c = d2 m

Perimeter

P = π·d m

Second moments of area

I_z = I_y = π·d⁴64 m⁴

Polar moment of area

I_x = 2·I_y m⁴

Radii of gyration

r_z = r_y =  I_yA m

r_x =  I_xA m

Torsional constant

I_t = π·d⁴32 m⁴

Torsional section modulus

W_t = 2·I_td m³