Results 1 to 2 of 2

Math Help - sum and differences of area

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    11

    sum and differences of area

    Heyy i do not understand how to do this?

    Find the exact area enclosed between the cureve y = √ 4 - x^2
    and the line x - y + 2 = 0

    the answer is : ( π - 2 ) units^2

    thanks heaps
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    \sqrt{4-x^2} is the equation of a semicircle, centre (0,0), radius 2,

    standing on the x-axis, with maximum point (0,2).

    The line y=x+2 intersects this at (-2,0) and (0,2).

    Therefore the area between them is

    quarter\ circle\ area-triangle\ area=\frac{\pi(2^2)}{4}-0.5(2)(2)=\pi-2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finite Differences
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 28th 2011, 10:06 PM
  2. Method of Differences
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 20th 2011, 10:16 PM
  3. sum or differences of logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 31st 2010, 11:05 AM
  4. differences
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 25th 2010, 03:56 AM
  5. first and second differences
    Posted in the Algebra Forum
    Replies: 5
    Last Post: August 8th 2008, 07:06 AM

Search Tags


/mathhelpforum @mathhelpforum