- #1
TonyC
- 86
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How would I find the eccentricity of the ellipse:
x^2/49 + y^2/64 = 1
x^2/49 + y^2/64 = 1
The eccentricity of an ellipse is a measure of how elongated or elongated the ellipse is. It is represented by the letter "e" and is calculated by dividing the distance between the foci by the length of the major axis.
The range of values for eccentricity is between 0 and 1, where 0 represents a circle and 1 represents a line.
An eccentricity of 0.5 indicates that the ellipse is halfway between a circle and a line. It means that the distance between the foci is half the length of the major axis.
The eccentricity affects the shape of an ellipse by determining how elongated or flattened it is. The closer the eccentricity is to 0, the more circular the ellipse will be. The closer it is to 1, the more elongated or flattened the ellipse will be.
The eccentricity of a planet's orbit determines the shape of its elliptical path around the sun. A lower eccentricity means a more circular orbit, while a higher eccentricity means a more elongated orbit. This can affect the planet's speed and distance from the sun during different points in its orbit.