Results 1 to 7 of 7

Math Help - where to draw a line

  1. #1
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    where to draw a line

    Draw a line across the figure so that the total area of the circles is divided exactly in half.

    need your guide .


    thanks guys
    Attached Thumbnails Attached Thumbnails where to draw a line-circlesss2.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: where to draw a line

    Clearly, each region is going to have an area of 2 1/2 circles. You could simply draw a vertical line through the middle two circles such that the area is bisected...then you could compute the perpendicular distance between the line and the centers of the middle two circles.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,113
    Thanks
    325

    Re: where to draw a line

    This will do it:
    Attached Thumbnails Attached Thumbnails where to draw a line-circles..jpg  
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: where to draw a line

    ^Or that. Nice.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    914
    Thanks
    27

    Re: where to draw a line

    For unit circles richards vertical moved 0.4 units to the left bisects the circle area of the five circles. Result calculated using segment area tabulated values based on 1 semi circle where the desired area is pi/4
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,113
    Thanks
    325

    Re: where to draw a line

    Quote Originally Posted by bjhopper View Post
    For unit circles richards vertical moved 0.4 units to the left bisects the circle area of the five circles. Result calculated using segment area tabulated values based on 1 semi circle where the desired area is pi/4
    This is not accurate. At an offset of 0.4 the approximate area of the segment is pi x 0.252316. It's certainly possible to calculate the correct position of the vertical line to greater accuracy, but you'd be hard pressed to actually draw the correct position of the vertical line to exactly cut the area in half.
    Last edited by ebaines; August 8th 2012 at 05:04 AM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    914
    Thanks
    27

    Re: where to draw a line

    Would you believe an offset of 0.404 ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: February 9th 2010, 06:45 AM
  2. Draw a number line
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 12th 2009, 11:36 AM
  3. Triangles- Can you draw a line that intersects
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 1st 2008, 01:45 PM
  4. How do you draw a line of best fit?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: August 27th 2008, 05:05 AM
  5. Draw Perpendicular Line
    Posted in the Geometry Forum
    Replies: 5
    Last Post: August 18th 2008, 05:24 AM

Search Tags


/mathhelpforum @mathhelpforum