Find the surface area of the cylinder. Round your answer to the nearest tenth. 10 in. 4 in.
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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:
- Length of the <em>major</em> semiaxis (
).
- Length of the <em>minor</em> semiaxis (
).
- Distance between the foci and the center of the ellipse (
).
And there is the following relationship:
(1)
Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (), which is defined by the following formula:
,
(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.
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Answer:
Step-by-step explanation:
Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,
Simplify,
Inverse operations,