Question

An ellipse is cut out of a circle with radius a. The major axis of the ellipse coincides with a diameter of the circle and the minor axis has length 2h. Prove that the area of the remaining part of the circle is the same as the area of the ellipse with semiaxes a and a-b.

Answer 1

This problem is very simple if you know the equation for the area of an ellipse (and assuming I'm interpreting the word problem correctly).