Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    Hi CGUE ! :smile:

    sin = opp/hyp …

    sin 1/2 sector angle = 1/2 l/r :smile:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook