The formula for the area of an ELLIPSE explained! (with examples)
Автор: Math Illustrated
Загружено: 2024-10-18
Просмотров: 223
Описание:
The formula for the area of an ellipse is explained using a concept that examines the area of inscribed rectangles.
00:00 First the area of a circle is calculated by inscribing overlapping rectangles.
00:38 The rectangles are selected in a particular sequence so that the overlap is progressively predictable.
02:00 A formula for that overlap is derived.
05:02 The formula for the circle is found.
05:35 An example is then chosen to confirm the method.
06:29 The approach is further confirmed using integration.
06:48 The same approach can be used for an ellipse, as shown in the video.
09:35 A formula for the ellipse is found in using a similar formulation.
09:52 An example is chosen to confirm the method.
10:49 An integral is then used to further confirm the method.
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