Results 1 to 4 of 4

Math Help - area of polar coordinates

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    16

    area of polar coordinates

    I'm trying to figure out the the area inside the outer loop and above the x axis for the polar curve r = 1 - 2sin(theta).

    i think the integral goes from pi to pi/6. I want to say that the integral for the area is 1/2 (1-2sin(theta))^2 d(theta) multiplied by 2 but I'm really not sure. Can someone clarify this for me?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by etha View Post
    I'm trying to figure out the the area inside the outer loop and above the x axis for the polar curve r = 1 - 2sin(theta).

    i think the integral goes from pi to pi/6. I want to say that the integral for the area is 1/2 (1-2sin(theta))^2 d(theta) multiplied by 2 but I'm really not sure. Can someone clarify this for me?
    I think you want 0 to pi/6, not pi to pi/6. Then it's all fine.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2008
    Posts
    16
    is it still supposed to be multiplied by 2? Or do I not need that
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by etha View Post
    is it still supposed to be multiplied by 2? Or do I not need that
    I only corrected the integral terminals. The rest I said was fine. So yes, it is still multiplied by 2.

    A graph of the curve clearly shows why the factor of 2 is necessary.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Area polar coordinates.
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 18th 2011, 03:41 AM
  2. Polar coordinates area
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 4th 2009, 08:09 AM
  3. area in polar coordinates
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 13th 2008, 11:30 PM
  4. Area in Polar Coordinates
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 5th 2008, 01:22 PM
  5. polar coordinates area
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 20th 2006, 07:49 AM

Search Tags


/mathhelpforum @mathhelpforum