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What two points define the shape of the ellipse?
The two foci are necessary to define the location of an ellipse, but the shape depends on the eccentricity, which is related to the lengths of the two axes.
How do you figure the area of an ellipse?
πab, where a and b are the lengths of the semi-major and semi-minor axes, respectively. A=pi*a*b
When the Cartesian coordinate system is used to describe three-dimensional space one needs three axes. These axes are typically called the and axes.?
x, y and z axes.
How do you find the major axis in an ellipse?
The major axis is the line that joins the two foci (focuses) of the ellipse. If all you have is a picture of an ellipse and you don't know where the foci are, you can still find the major axis in a few seconds: It's the longest possible line that you can draw completely inside the ellipse, and it's the line straight across the ellipse between the two opposite "points of the egg".
When the Cartesian coordinate system is used to describe three-dimensional space one needs three axes These axes are typically called the and axes?
x, y, and z
Every ellipse has two?
foci and axes.
What are the major and minor axes of an ellipse?
The major axes of an ellipse is its longest diameter. The minor axes, on the other hand, is the shortest diameter.
What two points define the shape of the ellipse?
The two foci are necessary to define the location of an ellipse, but the shape depends on the eccentricity, which is related to the lengths of the two axes.
What equation represents an ellipse?
x2/a2 + y2/b2 = 1, is the equation of an ellipse with semi-major axes a and b (that's the equivalent of the radius, along the two different axes), centered in the origin.
What is the difference between an ellipse and an oval?
An ellipse always has two axes of reflection; an oval has one or more.So, an egg-shape is an oval, but not an ellipse.In short an ellipse is an oval, but an oval may or may not be an ellipse.
What is the formula for finding the volume of an ellipse?
An ellipse is 2-dimensional; it has no volume. The area of an ellipse is pi * A * B, where A and B are the lengths of its axes.
A circle that is stretched in opposite directions?
This shape is called an ellipse, which is the result of stretching a circle unevenly in opposite directions. It still maintains a curved shape, but the horizontal and vertical axes are no longer equal in length.
Is the center of a circle called a focus or nucleus?
The center of a circle is called thecenter, in a way it is the focus of the special case of an ellipse which has equal major and semi major axes...
What does the word ellipse means?
Ellipse is a term for an oval. Specifically it is a shape where the sum of the distance of every point on the ellipse to two points, called the foci, is equal.
Are eggs ellipses?
No, eggs are ovals. An ellipse has two axes of symmetry; an egg has one axis of symmetry. An ellipse is a special case of an oval. The word oval actually comes from the Latin for egg (ovum) Technically speaking, although the egg is oval in two dimensions, it is a 3D object, and is thus called an ovoid; an ovoid is an oval in three dimensions
What is the formula for the area of an ellipse?
The formula for an ellipse is (x/a)2 + (y/b)2 = c2 where a and b are the lengths of the semi-axes and c is a constant.
What is principal axis?
On the Cartesian plane the principle axes are the x horizontal axis and the vertical y axis whereas both axes cross each other at the point of origin which is at (0, 0) ---------- In an ellipse the major axis is the line that includes the most distant points on the ellipse; the minor axis includes the closest points. An ellipse is a two-dimensional object which can be generalised to three or more dimensions known as ellipsoids. The line that includes the most distant points on an ellipsoid is called the principle axis of that ellipsoid. Please see the link.
