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    Circle Function

    Result

    x(t) = a cos(t) y(t) = a sin(t)

    Plot

    Plot

    Equations

    x^2 + y^2 = a^2

    r(θ) = a

    (for a circle with center at the origin and radius a)

    Parametric properties

    s = 2 π a

    s(t) = a t

    κ(t) = 1/a

    m(t) = -cot(t)

    ϕ(t) = t

    left double bracketing bar x(t) right double bracketing bar = a

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