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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 foci of an ellipse are points used to define its shape, and the eccentricity of an ellipse is a measure of how "elongated" or stretched out it is. The closer the foci are to each other, the smaller the eccentricity, while the farther apart the foci are, the larger the eccentricity of the ellipse.


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


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 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.


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.


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

An ellipse with less eccentricity will be closer in shape to a circle, so it will generally be smaller than an ellipse with more eccentricity which is more elongated. The size comparison also depends on the specific dimensions of the ellipses.


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)


Why are ellipse eccentricities between 0 and 1?

If the eccentricity was 0 the ellipse would instead be a circle, and if the eccentricity was 1 it would be a straight line segment.