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Need Guidance: Area in between Polar Curves

  1. Aug 27, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the area of the region that lies inside both of the circles
    r = 2sin(x)
    r = sin(x) + cos(x)

    2. Relevant equations

    A = (1/2)(int from a to b): r^2 dx

    (I apologize because I do not know how to make calculus look proper in text form)

    3. The attempt at a solution

    What I need is some theoretical help. Through graphing these circles I can see that they intersect at pi/4. However, I see that they intersect near the origin, however I can not get a common angle, which makes me confused on how to set up the intervals of my integration. Any ideas to get me going would be much appreciated!
  2. jcsd
  3. Aug 27, 2012 #2


    Staff: Mentor

    What about setting the r values in the two equations equal, and solving for the angle?
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