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Math Help - circle 2

  1. #1
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    circle 2

    if chord y=mx+1 of the circle x^2+y^2=1 subtends an angle 45 degrees at the major segment of the circle,then the value of m is
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  2. #2
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    Quote Originally Posted by prasum View Post
    if chord y=mx+1 of the circle x^2+y^2=1 subtends an angle 45 degrees at the major segment of the circle,then the value of m is
    1. I'm not sure that I understand your question correctly(?).

    2. Draw a sketch.

    3. The perpendicular bisector of the chord has the slope n = -\frac1m which correspond to an angle of 67.5 to the x-axis.

    4. The slope of the sekant correspond to an angle of -22.5 and therefore

    m = \tan(-22.5^\circ)

    5. Use some simple trig-properties to get

    \tan(-22.5^\circ) = 1-\sqrt{2}
    Attached Thumbnails Attached Thumbnails circle 2-steigg_sekante.png  
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  3. #3
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    Why do your angles have commas instead of periods? You wrote 67,5 and 22,5. Shouldn't it be 67.5 degrees and 22.5 degrees?
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  4. #4
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    Quote Originally Posted by RTC1996 View Post
    Why do your angles have commas instead of periods? You wrote 67,5 and 22,5. Shouldn't it be 67.5 degrees and 22.5 degrees?
    Sorry for the confusion but in Germany (in Austria and Switzerland also) the number which you write like this

    12,345.67

    is written like this

    12.345,67
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