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Eccentricity (Ellipse x²/a² + y²/b² = 1 (a > b))
e = √(1 − b²/a²)
Where: a = a, b = b, e = eccentricity
Solved example
Given: a = 7, b = 5
Find: e (eccentricity)
- Formula: e = √(1 - b²/a²)
- Substitute the values: e = √(-5²/7² + 1)
- Result: e = 0.699854
Answer: e = 0.699854
Calculator
How to calculate Eccentricity (Ellipse x²/a² + y²/b² = 1 (a > b))
- Write down the formula: e = √(1 − b²/a²).
- Note the known values (a, b).
- Substitute them and simplify to find e.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Eccentricity (Ellipse x²/a² + y²/b² = 1 (a > b))?
The formula is e = √(1 − b²/a²), where a = a, b = b, e = eccentricity.
What is Eccentricity (Ellipse x²/a² + y²/b² = 1 (a > b)) when a = 7, b = 5?
e = 0.699854. Substitute the values into e = √(1 − b²/a²) and simplify.