Area of Ellipse — Formula Derivation (Proof)

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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
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HOW TO FIND THE EXACT EXACT EXACT CIRCUMFERENCE OF CIRCLE
. Procedure
Step 1. Draw a square, 2 diagonals and inscribe a circle in the square. Thereby side and diameter will be the same Step 2 : Subtract 2 diagonals from the perimeter of square Step3. Divide step2 with 8 Step4. Add 3 times of the side. to Step 3
At the end we get the EXACT circumference of the inscribed circle

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