Sector angle and segment area just given only 2 variables ?

  • Thread starter CGUE
  • Start date
  • #1
CGUE
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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.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,838
256
Hi CGUE ! :smile:

sin = opp/hyp …

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

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