Results 1 to 6 of 6

Math Help - Square inscribed in a circle, need some help (Probability!)

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    6

    Square inscribed in a circle, need some help (Probability!)

    Hello everyone! I just joined, needing some help on my review packet for my test..... Given this image:






    If the side length of the square is 3 times (radical 2) then what is the probability that if you threw a dart at random, that it would land outside of the square? An explanation would be great as well! Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,110
    Thanks
    982
    assuming the dart hits inside the circle ...

    P = (circle area - square area)/(circle area)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2010
    Posts
    6
    Quote Originally Posted by skeeter View Post
    assuming the dart hits inside the circle ...

    P = (circle area - square area)/(circle area)
    Thank you! I got .3633802276, could someone check that for me?
    Thanks again
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jun 2010
    Posts
    6
    Quote Originally Posted by icmac3 View Post
    Thank you! I got .3633802276, could someone check that for me?
    Thanks again
    I got the areas 9.424777961 for the circle, and 6 for the square.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by icmac3 View Post
    Thank you! I got .3633802276, could someone check that for me?
    Thanks again
    Confirmed. The exact value is \frac{\pi-2}{\pi}.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Jun 2010
    Posts
    6
    Quote Originally Posted by undefined View Post
    Confirmed. The exact value is \frac{\pi-2}{\pi}.
    Thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Area of circle inscribed in a square.
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 1st 2011, 12:22 PM
  2. Replies: 1
    Last Post: February 22nd 2010, 11:53 PM
  3. Replies: 2
    Last Post: February 6th 2010, 09:31 AM
  4. Help with square inscribed in circle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 11th 2009, 05:09 PM
  5. Square inscribed in circle...
    Posted in the Math Topics Forum
    Replies: 11
    Last Post: July 21st 2006, 07:32 PM

Search Tags


/mathhelpforum @mathhelpforum