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Math Help - radius of a circle

  1. #1
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    radius of a circle

    Referring to the attached pic, work out and present the radius of circle in surd form.
    Attached Thumbnails Attached Thumbnails radius of a circle-ques-6.jpg  
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  2. #2
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    i makes some modifications for better understanding

    given

    AB || CD
    let distance between center 'O' to CD,OE=x
    then ,distance between center 'O' to AB , OF= 6-x (because shortest distance between AB and CD = 6
    AF = AB/2 =5 cms and CE = CD/2 = 7 cms.
    then using Pythagoras theorem
    in triangle CEO,
    r^2=x^2+7^2 ......................(1)
    in triangle AFO,
    r^2=(6-x)^2+5^2 .................(2)

    solve equation (1) and (2)...

    \\edit
    i got x=1 and radius r=5 \sqrt{2} cms
    Last edited by ramiee2010; November 1st 2009 at 07:09 AM. Reason: correction
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