Q: What happens to the ellipse when the eccentricity becomes zero?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

An ellipse is very eccentric when its foci are far apart.The closer one focus is to the other, the less eccentric the ellipse is.When when both foci are the same point, the eccentricity is zero, and the ellipse is a circle.

A circle is perfectly round, and has one center. An ellipse is like a circle with TWO "centers", and each "center" is called a "focus". The plural of "focus" is "foci". Take a piece of string and tie a loop in each end. Put a pin through the loops, and hold it still in the center of the circle. Place the tip of your pencil at the center of the string, and you can draw a circle by keeping the string taut. Now take TWO pins, and put one pin at each end of the string; place the pins at some short distance apart, and hold them there. Place your pencil and draw, and the shape you draw will be an ellipse. The two pinpoints are the focuses, or foci, of the ellipse. Eccentricity is a measure of how far the ellipse varies from a circle. An ellipse with an eccentricity of zero _IS_ a circle, while an eccentricity of 1.0 is a straight line, with that string stretched out straight. In astronomy, every natural orbit is an ellipse.

It becomes zero.

If it's a circle, then it's pi*diameter or 2*pi*radius.If it is an ellipse, the circumference (perimeter) is an infinite series with an approximation based on its eccentricity (which for a circle is zero).(see the related link)

The eccentricity of the Earth's orbit is currently about 0.0167; that rounds to zero.

Related questions

A circle

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.

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 does eccentricity means? But a ellipse is a word i dunno, all i know is the ecllispe the minty mint i eat every day.

the minimum would be a zero. and a eccentricity of zero would be a circle because if it's a zero, you only have one point because there is no focal distance. if you have only one point to connect, it would be a circle. on the other hand, the maximum would be one; a line. because eccentricity is in a fraction/decimal form. the person before me wrote 7. that is not humanly possible, because that would mean a fraction like 700/100. and how can the focal distance be grater than the major axis?

It is called a circle.A circle is an ellipse with zero eccentricity.Incidentally, you probably meant "geometric figure".

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.

A circle is an ellipse with an eccentricity of zero. Both foci of that ellipse are at the same point. In the special case of the circle, that point is called the "center".

An ellipse is very eccentric when its foci are far apart.The closer one focus is to the other, the less eccentric the ellipse is.When when both foci are the same point, the eccentricity is zero, and the ellipse is a circle.

The eccentricity of the ellipse would be close to zero. In an almost circular orbit, the eccentricity approaches zero. This means that the asteroid's orbit is very close to being circular, with the Sun almost at the center.

As the eccentricity reaches zero the two foci merge together and the ellipse becomes a circle. If a is half the major axis of the ellipse, and e is the eccentricity, the distance between the foci is 2ae. For a planet the Sun occupies one focus and the other is vacant, so the Sun is a distance of ae from the centre of the ellipse. The minor axis is sqrt(1-e^2) times the minor axis, so for all the planets except Mercury the minor axis is more than 99½% of the major axis. The best way to draw an orbit is to ignore this small difference and draw a circle, and then place the Sun at the right distance off-centre.

The eccentricity of the circle is zero.