Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Area of an ellipse and similar problems

  1. Mar 20, 2013 #1
    To find the area, you break the ellipse into infinitesimaly small triangles and integrate.

    But why? Why not break it up into infinitesimaly small circle segments and calculate it through circumference instead?

    There are other problems regarding integration of geometric objects that has me wondering the same thing. Integrating a function in polar coordinates for example. It seems to me that the triangle method and the circle method has equal logical merit. But one of them produces the wrong result. What's governing which one to choose?
     
  2. jcsd
  3. Mar 20, 2013 #2
    Could you put your circle segment idea in mathematical terms? I am sure that it works if you do it right.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Area of an ellipse and similar problems
  1. An Area Problem (Replies: 6)

  2. Area problem (Replies: 7)

  3. Fun Ellipse Problem (Replies: 0)

Loading...