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Mathematics LibreTexts

Circle of Curvature

  • Page ID
    91769
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    View the Circle of Curvature

    Below you can see the graph of a function, its curvature (\(\kappa\)),  its radius of curvature (\(r\)),  and its circle of curvature.  You can move the slider to see how the circle of curvature changes as you move along the curve.  Click "Next" to see a new curve.

    \(f(x)=\frac{x^3}{4}-x^2-x+1\)

    \(f(x)=\sin(x)\)

    \(f(x)=\)ln\((x)\)

    \(f(x)=\cos(3x)e^{x/3}\)

    \(f(x)=2\sin(x)+2\cos(3x)\)

    \(f(x)=\sin(2x)+\)ln\((x+2)\)

    \(f(x)=3x+\frac{1}{5x}-x^2+1\)

    \(f(x)=\frac{\sin(4x)}{x}\)

    \(f(x)=\)ln\((x)\cos(3x)\)

    \(f(x)=\)ln\((x+2)+\sin(2x)-e^{-x}\)

    x = 3

     


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