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Geometrical Properties of Half Circle


half-circle.png

Diameter

d = m

Area

A = π·d2/8 m2

Perimeter

P = π·d/2 + d m

Centroid

yc = d/2 m

zc = 2·d/(3·π) m

Second moments of area

Iy = (π/128 – 1/(18·π))·d4 m4

Iz = π·d4/128 m4

Polar moment of area

Ix = Iy + Iz m4

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

rx = √Ix/A m


Substitute