Limacon Curves

Key Questions

  • mathworld.wolfram.com

    Limaçon curves look like circles. They have various types depending on the values in their equations.

    In the image below, for example, the types of limaçon curves are: dimpled, cardioid, and looped (respectively).

    upload.wikimedia.org

  • Answer:

    It's easiest to watch a video of this.
    Here's one I made a while back

    Explanation:

    I think the video will help you out a lot.

  • Answer:

    r^2=a^2 cos 2theta.
    The graph is the fallen eight, looking like the symbol oo...

    Explanation:

    For the double loop of r^2=a^2 cos 2theta, cos 2theta >=0.

    So, the range for theta in [0, 2pi] excludes (pi/4, (3pi)/4) and

    ((5pi)/4, (7pi)/4), Here, cos 2theta < 0...

Questions