Is there a way to find the height of the segment of a circle if you are only given the radius and the area of the segment?

Printable View

- April 1st 2009, 02:20 PMlhendersonFind height of segment given radius and area
Is there a way to find the height of the segment of a circle if you are only given the radius and the area of the segment?

- April 1st 2009, 02:24 PMPlato
- April 1st 2009, 02:39 PMlhenderson
I had seen this (the link is actually to the formulas for a sector) but the segment formula's state:

A = 1/2 R^2(theta-sin theta)

Which gives me 2*A/R^2=theta -sin theta.

What I'm not sure on is how to solve for theta, from there I can figure out the rest. - April 1st 2009, 03:03 PMPlato
There is also this.

I am not really sure what or which applies to your question. - April 1st 2009, 03:25 PMlhenderson
Sorry that is the link I had seen. Where I'm confused is here:

http://mathworld.wolfram.com/images/...gment_1001.gif

http://mathworld.wolfram.com/images/...t/Inline44.gifhttp://mathworld.wolfram.com/images/...t/Inline45.gifhttp://mathworld.wolfram.com/images/...t/Inline46.gif

I have R and I have A how do I solve for theta? From there I can figure out h.