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Math Help - Circle

  1. #1
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    Circle

    The angle between a tangent and a chord is 14degrees19'16''. If the length of the arc subtended by the chord is 5cm, what is the radius of the circle.

    Help please, I really have no idea. Can you show it with illustrations, thanks!
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  2. #2
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    Quote Originally Posted by reiward View Post
    The angle between a tangent and a chord is 14degrees19'16''. If the length of the arc subtended by the chord is 5cm, what is the radius of the circle.

    Help please, I really have no idea. Can you show it with illustrations, thanks!
    HI

    take a look at the diagram i attached .

    s=5 , r=?? , \theta=??

    Remember these 2 properties of circle

    (1) angles of alternate segment are equal (red)

    (2) angles at radius is twice the angle at circumference (blue)

    Then use this formula , s=r\theta to get r .
    Attached Thumbnails Attached Thumbnails Circle-circle.bmp  
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