x^2 + y^2<=a^2 and y>=a cos(θ/2)
(-sin(θ/2) a, cos(θ/2) a) | (sin(θ/2) a, cos(θ/2) a)
2
a>0 and 0<θ<π
(data not available)
r = a cos(θ/2)
h = a (1 - cos(θ/2))
a cos(θ/2)
A = 1/2 a^2 (θ - sin(θ))
x^_ = (0, (4 sin^3(θ/2) a)/(3 (-sin(θ) + θ)))
J_x invisible comma x = 1/8 a^4 (θ - sin(θ) cos(θ))
J_y invisible comma y = 1/48 a^4 (6 θ - 8 sin(θ) + sin(2 θ))
J_zz = -1/24 a^4 (-6 θ + 4 sin(θ) + sin(2 θ))
J_x invisible comma y = 0
r_x = 1/2 a sqrt((θ - sin(θ) cos(θ))/(θ - sin(θ))) r_y = 1/2 a sqrt((6 θ - 8 sin(θ) + sin(2 θ))/(6 θ - 6 sin(θ)))
(data not available)
p = a (θ + 2 sin(θ/2))
(data not available)
2 a sin(θ/2)
χ = 1
convex laminae