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    Circular Sector

    Defining inequalities

    x^2 + y^2<=a^2 and -tan(θ/2)<=x/y<=tan(θ/2) and y>=0

    Definition

    Alternate names
    Lamina properties

    a>0 and 0<θ<π

    (data not available)

    r = a cos(θ/2)

    h = a (1 - cos(θ/2))

    a (1 - cos(θ/2))

    A = (a^2 θ)/2

    x^_ = (0, 2/3 sinc(θ/2) a)

    Mechanical properties

    J_x invisible comma x = 1/8 a^4 (θ + sin(θ))

    J_y invisible comma y = 1/8 a^4 (θ - sin(θ))

    J_zz = (a^4 θ)/4

    J_x invisible comma y = 0

    r_x = 1/2 a sqrt((θ + sin(θ))/θ) r_y = 1/2 a sqrt(1 - sin(θ)/θ)

    Distance properties

    (data not available)

    p = a (θ + 2)

    R = a sin(θ/2) csc(θ)

    max(a, 2 a sin(θ/2))

    χ = 1

    Class

    convex laminae

    Objects with this shape

    MLB baseball field | slow pitch softball field | NCAA softball field

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