Library       Calculate

Geometrical Properties of Quarter Circle


quarter-circle.png

Radius - r = m

Area

A = π·r2/4 m2

Centroid

zc = yc = 4·r/(3·π) m

Perimeter

P = (π/2 + 2)·r m

Second moments of area

Iz = Iy = (π/16 – 4/(9·π))·r4 m4

Iyz = (1/8 – 4/(9·π))·r4 m4

Principal area moments

I1 = Iy + abs(Iyz) m4

I2 = Iyabs(Iyz) m4

Angle of principal axis

α1 = atan((IyI1)/Iyz) о

Polar moment of area

Ix = 2·Iy m4

Radii of gyration

rz = ry = √Iy/A m

r1 = √I1/A m

r2 = √I2/A m

rx = √Ix/A m


Substitute