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Trava [24]
2 years ago
10

In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:

Mathematics
1 answer:
Anni [7]2 years ago
3 0

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

  1. Length of the <em>major</em> semiaxis (a).
  2. Length of the <em>minor</em> semiaxis (b).
  3. Distance between the foci and the center of the ellipse (c).

And there is the following relationship:

c = \sqrt{a^{2}-b^{2}} (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (e), which is defined by the following formula:

e = \frac{c}{a}, 0 \ge c \ge 1 (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. \blacksquare

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

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