Sector angle and segment area just given only 2 variables ?

  • Thread starter CGUE
  • Start date
  • #1
23
0

Main Question or Discussion Point

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
25,832
249
Hi CGUE ! :smile:

sin = opp/hyp …

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

Related Threads for: Sector angle and segment area just given only 2 variables ?

  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
1
Views
823
Replies
2
Views
770
Replies
15
Views
2K
Replies
1
Views
2K
Replies
5
Views
2K
  • Last Post
2
Replies
35
Views
25K
Replies
7
Views
2K
Top