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The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what

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Question: The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what is the eccentricity?

Options:

  1. 0.6
  2. 0.8
  3. 0.4
  4. 0.5

Correct Answer: 0.8

Solution:

Eccentricity e = c/a = 6/10 = 0.6.

The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what

Practice Questions

Q1
The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what is the eccentricity?
  1. 0.6
  2. 0.8
  3. 0.4
  4. 0.5

Questions & Step-by-Step Solutions

The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what is the eccentricity?
  • Step 1: Identify the values given in the problem. We have a = 10 and c = 6.
  • Step 2: Write down the formula for eccentricity, which is e = c/a.
  • Step 3: Substitute the values of c and a into the formula. This means we replace c with 6 and a with 10.
  • Step 4: Calculate the value of e by dividing c by a. So, we do 6 divided by 10.
  • Step 5: Simplify the fraction 6/10. This gives us 0.6.
  • Eccentricity of an Ellipse – Eccentricity (e) measures the deviation of an ellipse from being circular, calculated as the ratio of the distance from the center to a focus (c) over the distance from the center to a vertex (a).
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