Question: The eccentricity of an ellipse is defined as e = c/a. If a = 10 and c = 6, what is the eccentricity?
Options:
0.6
0.8
0.4
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?
0.6
0.8
0.4
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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