Hi I read [this response but it isn't exactly my situation][1] I have a circle where the axis of rotation is on the c axis like this for a segment equal to the green. 
[![enter image description here][3]][3]


Specifically, I have a round steel plate on a concrete base attached with anchors. There a moment across the center (out of plane) I am trying to determine the resisting moment of the concrete surface. 

I am very much not sure what the integration result would be.

https://en.wikipedia.org/wiki/Circular_segment


  [1]: https://engineering.stackexchange.com/questions/8355/determine-the-moment-of-inertia-of-a-filled-circular-sector
  [2]: https://en.wikipedia.org/wiki/Circular_segment
  [3]: https://i.sstatic.net/gk3eP.png