Results 1 to 2 of 2

Math Help - circle problem..

  1. #1
    Member
    Joined
    Mar 2009
    From
    jharkhand
    Posts
    77

    circle problem..

    If O is the centre of the circle. Prove that :
    < x + < y = < z
    Attached Thumbnails Attached Thumbnails circle problem..-2qd7cxl.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1
    Hello snigdha
    Quote Originally Posted by snigdha View Post
    If O is the centre of the circle. Prove that :
    < x + < y = < z
    I have added the letters A, B and C to your diagram - see the attached.

    Then
    \angle QAR = \angle QBR = \tfrac12z (angle at centre)

    \Rightarrow \angle PAC = \angle PBC = 180^o-\tfrac12z (angles on a straight line)

    \Rightarrow x + y +(180^o-\tfrac12z)+(180^o-\tfrac12z)=360^o (angle sum of quadrilateral ACBP)

    \Rightarrow x + y+360^o-z =360^o

    \Rightarrow x + y = z
    Grandad
    Attached Thumbnails Attached Thumbnails circle problem..-untitled.jpg  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circle problem
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: May 20th 2011, 11:20 AM
  2. Circle Problem
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 7th 2010, 01:20 AM
  3. circle problem
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 25th 2010, 01:01 PM
  4. Circle Problem
    Posted in the Geometry Forum
    Replies: 7
    Last Post: March 17th 2010, 06:35 PM
  5. circle problem..
    Posted in the Geometry Forum
    Replies: 13
    Last Post: February 8th 2010, 04:55 AM

Search Tags


/mathhelpforum @mathhelpforum