An ellipse

major axis: 900

minor axis: 450

Two points on ellipse 150 and 250 distance

away from center line as shown in attached file (chord length)

Then how to measure the lenght of chord AB as shown in

attached file ?

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- Jan 31st 2010, 08:19 PMashvin123how calculate chord length of ellipse.
An ellipse

major axis: 900

minor axis: 450

Two points on ellipse 150 and 250 distance

away from center line as shown in attached file (chord length)

Then how to measure the lenght of chord AB as shown in

attached file ? - Feb 1st 2010, 04:18 AMearboth
If you are allowed to use a convenient coordinate system you can calculate the coordinates of the points A and B. Afterwards use the distance formula.

Put the origin of the coordinate system on the center of the ellipse. The equation of the ellipse becomes:

$\displaystyle \dfrac{x^2}{450^2} + \dfrac{y^2}{225^2}=1$

Plug in x = 150 to get $\displaystyle y = 150 \sqrt{2}$ .

Thus $\displaystyle A(150, 150\sqrt{2})$ and $\displaystyle B(250, 50 \sqrt{14})$

Now use the distance formula. - Feb 2nd 2010, 02:54 AMashvin123
Thank you.

Thank you very much.