Calculate the eccentricity of an ellipse. The distance between the foci is 5.2 and the length of the major axis is 20.6.Round off your answer to the nearest thousandths (0.000).

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Answer:

The eccentricity of the ellipse is 0.252.

Explanation:

The eccentricity of an ellipse ([tex]c[/tex]), dimensionless, can be determined by means of the following expression:

[tex]e = \frac{\bar c}{\bar a}[/tex] (1)

Where:

[tex]\bar c[/tex] - Distance between the foci, dimensionless.

[tex]\bar a[/tex] - Length of the major axis, dimensionless.

If we know that [tex]\bar c = 5.2[/tex] and [tex]\bar a = 20.6[/tex], then the eccentricity of the ellipse is:

[tex]e = \frac{5.2}{20.6}[/tex]

[tex]e = 0.252[/tex]

The eccentricity of the ellipse is 0.252.