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Acting locally and thinking globally. ...Wisdom

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 Author Topic: The area of an ellipse  (Read 3482 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: May 21, 2010, 12:52:48 am »

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 $2*Z$

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
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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.
• Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!
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Acting locally and thinking globally. ...Wisdom
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