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The stadium shown in the figure below is constructed in the shape of an ellipse with

Ellipse equation

Quote:

Originally Posted by apulanco

Ellipse equation

The stadium shown in the figure below is constructed in the shape of an ellipse with major and minor axes 450 and 260 meters, respectively. Find an equation for this ellipse.

The basic formula for an ellipse is:

$<br /> \frac {(x-x_0)^2} {a^2} + \frac {(y-y_0)^2} {b^2} = 1<br />$

where a and b are the lengths of the semi-major and semi-minor axes, and $(x_0,y_0)$ are the coordinates of the center. This assumes the major axis is aligned with the x-axis and the minor with the y-axis. If the major axis is actually along the y-axis then b is the semi-major axis length and a the semi-minor.

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