Thread: Area of a segment of an ellipse

http://img253.imageshack.us/img253/8324/image002h.gif


How to find the area of a segment of an ellipse (shaded portion) with
respect to height?

The formula for the area of an entire elippse is a*b*pi

where a and b are the lengths of the major and minor axes.

If you can find what the fractional amount of the whole ellipse that shaded region is......

That should be enough to get you going.

Originally Posted by josephpablo

http://img253.imageshack.us/img253/8324/image002h.gif


How to find the area of a segment of an ellipse (shaded portion) with
respect to height?

I'm afraid methods of calculus will be required to find the shaded area.