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Sector angle and segment area just given only 2 variables ?

  1. May 17, 2008 #1
    Is there a way to calculate the sector angle and segment area of a circle just given only the radius and the length of the circle ?
    So far I can only calculate the sagitta length using the radius and length of the chord i.e.

    [tex]S = r - \sqrt{r^2 - \frac{1}{2}l^2}[/tex]

    Where r is the radius of the circle and l is the length of the chord.
     
  2. jcsd
  3. May 17, 2008 #2

    tiny-tim

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    Hi CGUE ! :smile:

    sin = opp/hyp …

    sin 1/2 sector angle = 1/2 l/r :smile:
     
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