Finding the Total Width of an Ellipse

Thread starter princiebebe57
Start date Apr 25, 2007
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Ellipse Width

In summary, the total width of an ellipse can be found by multiplying the major axis by the eccentricity. The formula for finding the total width is 2 x major axis x eccentricity. It cannot be negative and is always longer than the diameter. It does not change when rotated or translated, as it is solely dependent on the major axis and eccentricity.

Apr 25, 2007

princiebebe57

How do you find the total width of the ellipse given by the equation 7x^2 + 7(y-6)^2 = 6.

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Apr 25, 2007

Office_Shredder

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Dividing by 7 gives you

x² + (y-6)² = 6/7 = a² for some a

What shape does that really look like?

FAQ: Finding the Total Width of an Ellipse

How do you find the total width of an ellipse?

The total width of an ellipse can be found by multiplying the major axis (longest diameter) by the eccentricity (a measure of how elongated the ellipse is).

What is the formula for finding the total width of an ellipse?

The formula for finding the total width of an ellipse is: total width = 2 x major axis x eccentricity

Can the total width of an ellipse be negative?

No, the total width of an ellipse cannot be negative. It is always a positive value.

How does the total width of an ellipse compare to the diameter?

The total width of an ellipse is always longer than the diameter. The diameter is the longest distance across an ellipse, while the total width takes into account the eccentricity of the ellipse.

Does the total width of an ellipse change if it is rotated or translated?

No, the total width of an ellipse does not change if it is rotated or translated. The total width is solely dependent on the major axis and eccentricity of the ellipse.