Finding the Total Width of an Ellipse

Thread starter princiebebe57
Start date Apr 25, 2007
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Ellipse Width

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To find the total width of the ellipse given by the equation 7x^2 + 7(y-6)^2 = 6, first divide the entire equation by 7, resulting in x^2 + (y-6)^2 = 6/7. This indicates that the ellipse is centered at (0, 6) with a semi-major axis along the y-direction. The total width of the ellipse can be determined by calculating the lengths of the semi-major and semi-minor axes, which are derived from the equation parameters. The shape of the ellipse is elongated vertically, reflecting its dimensions based on the derived values. Understanding these properties is essential for visualizing the ellipse accurately.

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?

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