Ellipses

I'm trying to find resources for ellipses (in particular, how to find the area of a section of an ellipse) and all I seem to find are websites that basically copied and pasted each other's information over and over again.

So do any of you /sci/fags know how to find the area of a section of an ellipse, either from one of the foci (like in Kepler's 2nd law of planetary motion) or from the center?

/sci/lons.  You want a name?  There's one.

pi * (minor axis) * (major axis)

>>3

Yeah, I know that.  What I was talking about was the area of a section of an ellipse.  Take an ellipse and draw 2 arbitrary lines that originate from either one of the foci or the center.  The lines extend out to the perimeter of the ellipse.  Is there a way to determine what the area enclosed by the two lines would be?

>>4

Integrate

>>4
You mean both lines start from the same point, or could you have like one line through the center and one line through a focus?

>>6

From the same point, so it roughly carves out a pie-slice shape.  I guess I'll have to use parametric integration for what I'm looking for.  Thanks to number 5, I was just hoping there was some generalized formula.