1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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 a polar function

  1. Oct 6, 2008 #1
    1. The problem statement, all variables and given/known data
    I'm trying to find the area enclosed by the polar curve [tex]r^2 = 2-cos(r*cos(\theta))*sin(r*sin(\theta))[/tex].


    2. Relevant equations

    I've been trying to use the polar area formula, [tex] A= \frac{1}{2}\int _a ^b r^2 d\theta[/tex], where r is a function of [tex]\theta[/tex]



    3. The attempt at a solution

    I'm using Maple, and it's getting a little messy. First I had to plot the function, and that was fine. For the plot I used r goes from -2 to 2 and [tex]\theta[/tex] goes from 0 to [tex]\pi[/tex]. That was fine.

    Now I have to find the area of the plot. I tried getting the r's and theta's onto seperate sides of the equation, so I could put r into the area integral, but you could imagine that would be a huge mess. I must be forgetting something. Where should I go from there? Or am I missing something and heading in the wrong direction? Thanks.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Area of a polar function
  1. Polar Functions (Replies: 7)

  2. Area of Polar Function (Replies: 6)

  3. Area Polar (Replies: 22)

Loading...