Eccentricity of an Ellipse  Summary and Q&A
TL;DR
The eccentricity of an ellipse describes its shape, with e close to 0 indicating a circular appearance and e close to 1 indicating an elongated oval shape.
Key Insights
 😚 The eccentricity of an ellipse determines its shape, ranging from circular (e close to 0) to elongated ovalshaped (e close to 1).
 😥 The eccentricity can be calculated using the equation e = c/a, where c is the distance between the center and one focus point, and a is the distance to one of the vertices.
 ⭕ The eccentricity of a circle is 0 because a circle has no elongation.
 😥 When graphing an ellipse, plotting points based on a and b values allows for accurate representation.
 💯 The eccentricity describes the deviation of an ellipse from a perfect circle.
 😘 A higher eccentricity value signifies a more elongated ellipse, while a lower value corresponds to a more circular shape.
 🆘 Understanding the eccentricity helps determine the proportions and appearance of an ellipse.
Transcript
so what exactly is the eccentricity of an ellipse the equation for it is e is equal to c over a where c is between zero and a now the eccentricity is measured between 0 and 1 for an ellipse so if e is very close to 0 then the ellipse will appear to be circular in fact it will look like a circle if e is exactly zero then you no longer have an ellips... Read More
Questions & Answers
Q: What does the eccentricity measure for an ellipse?
The eccentricity determines the shape of an ellipse, with e close to 0 indicating a circular shape and e close to 1 indicating an elongated oval shape.
Q: How is the eccentricity calculated?
The eccentricity is calculated using the equation e = c/a, where c is the distance between the center and one focus point, and a is the distance from the center to one of the vertices of the ellipse.
Q: What is the eccentricity of a circle?
The eccentricity of a circle is always 0 because a circle is perfectly even everywhere, and there is no elongation.
Q: How does the eccentricity affect the shape of an ellipse?
As the eccentricity increases, the ellipse becomes more elongated or ovalshaped. If the eccentricity decreases, the ellipse becomes more circular.
Summary & Key Takeaways

The eccentricity of an ellipse is defined by the equation e = c/a, where c is between 0 and a.

If e is close to 0, the ellipse appears circular. If e is exactly 0, it becomes a circle.

For an elongated ellipse, with e close to 1, the eccentricity determines the oval shape.

The eccentricity of a circle is always 0, while an elongated ellipse has an eccentricity close to 1.