Area of Ellipse — Formula Derivation (Proof)
This video is a part of the Ellipse playlist: • Ellipse
See more about ellipse: https://math-stuff.com/pages/standard...
In this video, we show how to get the formula for the area of an ellipse. We use the formula for the area of a circle and the fact that an ellipse is a circle stretched in one direction.
Timestamps:
00:00 - Introduction
00:13 - Placing the Coordinate System
00:51 - Stretching a Rectangle
01:43 - Approximating the Circle and the Ellipse
02:10 - Relation Between the Areas of Circle and Ellipse
02:22 - Area of the Ellipse
Software used for animations: Manim CE