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When the distance between the foci of an ellipse is increased the eccentricity of the ellipse will?

When the distance between the foci of an ellipse increases, the eccentricity of the ellipse also increases. Eccentricity is a measure of how much an ellipse deviates from being circular, calculated as the ratio of the distance between the foci to the length of the major axis. As the foci move further apart, the ellipse becomes more elongated, leading to a higher eccentricity value. Therefore, an increase in the distance between the foci results in a more eccentric ellipse.


What is the eccentricity of an ellipse in which the distance between the foci is 2 centimeters and the length of the major axis is 5 centimeters?

The eccentricity of that ellipse is 0.4 .


How are foci related to eccentricity?

The eccentricity of an ellipse is a number related to how "egg-shaped" it is ... the difference between the distance through the fat part and the distance through the skinny part. That's also related to the distance between the 'foci' (focuses) of the ellipse. The farther apart the foci are, the higher the eccentricity is, and the flatter the ellipse is. Comets have very eccentric orbits. When the two foci are at the same point, the eccentricity is zero, all of the diameters of the ellipse have the same length, and the ellipse is a circle. All of the planets have orbits with small eccentricities.


What change takes place in the eccentricity of an ellipse when you increase the distance between the foci?

Troll


What changes take place in the eccentricity of the ellipse when you increase the distance between the foci's?

Troll


How does the shape change with increasing eccentricity?

As the eccentricity of a shape increases, the shape becomes more elongated or stretched out. For example, an ellipse with a higher eccentricity will look more like a stretched circle. In general, as eccentricity increases, the shape will deviate more from its original form and become more elongated.


What is the difference between a circle and an ellipse?

-- the eccentricity or -- the distance between the foci or -- the ratio of the major and minor axes


How does the eccentricity of an ellipse change as the foci get closer together?

As the foci of an ellipse move closer together, the eccentricity of the ellipse decreases. Eccentricity is a measure of how elongated the ellipse is, defined as the ratio of the distance between the foci to the length of the major axis. When the foci are closer, the ellipse becomes more circular, resulting in a lower eccentricity value, approaching zero as the foci converge to a single point.


How does the numerical value of eccentricity change as the shape of the ellipse approaches a straight line?

As the shape of an ellipse approaches a straight line, its eccentricity increases and approaches 1. Eccentricity (e) is defined as the ratio of the distance between the foci and the length of the major axis; for a circle, it is 0, and for a line, it becomes 1. Thus, as an ellipse becomes more elongated and closer to a straight line, the numerical value of its eccentricity rises from 0 to nearly 1.


The ellipse with less eccentric is smaller or larger than an ellipse with more eccentric?

Eccentricity does not refer to the [size] of the ellipse. It refers to the [shape].An ellipse with [zero] eccentricity is a [circle].As the eccentricity increases, the ellipse becomes less circular,and more 'squashed', like an egg or a football.


What is the distance from one of the foci of the ellipse from its center?

The distance from one of the foci of an ellipse to its center is half the distance between its two foci. It is referred to as the focal distance and is an important parameter in defining the shape and size of the ellipse.


What is the eccentricity of an ellipse with a major axis of 54 cm and distance between the foci of 36.4 cm?

Dont know the eccentricity , but the minor axis = 39.888 cm (approx)