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"It is not the strongest of the species that survive, but the one most responsive to change." ..."Darwin(1809-1882, English naturalist Evolution)"
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Author Topic: The area of an ellipse  (Read 3386 times)
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ahmedelshfie
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on: May 21, 2010, 12:52:48 am » posted from:,,Brazil

This following applet is The area of an ellipse
Created by prof Hwang Modified by Ahmed
Original project The area of an ellipse

The area of an ellipse with semimajor axis a and semiminor axis b is A_e=\pi a b
You will find area of a circle A_c is the projection of area of an ellipse A_e.
And A_c =A_e \cos\theta
Because a=b*\cos\theta and the area of circle with radius a is A_c=\pi a^2
Since A_e \cos \theta =\pi a^2, A_e= \pi a^2/\cos\theta=\pi a \frac{a}{\cos\theta}=\pi a b

You can drag the slider to change the length of semimajor axis of the ellipse so the maximum height is 2*Z

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Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
  • Please feel free to post your ideas about how to use the simulation for better teaching and learning.
  • Post questions to be asked to help students to think, to explore.
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Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!


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