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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
What is a special form of the ellipse called?
A special form of the ellipse is called a circle. In a circle, the distance from the center to any point on the boundary is constant, meaning all points are equidistant from the center. This can be seen as an ellipse where the two foci coincide at the center, resulting in equal semi-major and semi-minor axes.
What does an ellipse shape look like?
An ellipse is a closed curved shape that resembles a squashed circle. It has two distinct points called foci, and the sum of the distances from any point on the ellipse to the two foci is constant. The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter.
What is an eccentric circle?
For Ellipse: The 2 circles made using the the ellipse center as their center, and major and minor axis of the ellipse as the dia.For Hyperbola: 2 Circles with centers at the center of symmetry of the hyperbola and dia as the transverse and conjugate axes of the hyperbolaRead more: eccentric-circles
How do you find the surface area of an ellipse?
An ellipse is a two dimensional shape, so it does not have a "surface area", only an "area". Any ellipse has two radii, the major one and the minor one. We'll call them R1 and R2. The area of the ellipse then can be calculated with the function: a = πR1R2 You will notice that this is the same equation as the area for a circle. The circle is a special case though, because it is an ellipse in which both axes are the same length. In that case, R1 equals R2, so we can simply call it r and say: a = πr2
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...
Does the eccentricity E gives us the size of an ellipse?
No, the eccentricity of an ellipse tells us the shape of the ellipse, not its size. The size of an ellipse can be determined by its major and minor axes lengths, or by its area.
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
What is a special form of the ellipse called?
A special form of the ellipse is called a circle. In a circle, the distance from the center to any point on the boundary is constant, meaning all points are equidistant from the center. This can be seen as an ellipse where the two foci coincide at the center, resulting in equal semi-major and semi-minor axes.
What is the formula of finding the area of an ellipse?
You know the formula for the area of a circle of radius R. It is Pi*R2. But what about the formula for the area of an ellipse of semi-major axis of length A and semi-minor axis of length B? (These semi-major axes are half the lengths of, respectively, the largest and smallest diameters of the ellipse--- see Figure 1.) For example, the following is a standard equation for such an ellipse centered at the origin: (x2/A2) + (y2/B2) = 1. The area of such an ellipse is Area = Pi * A * B , a very natural generalization of the formula for a circle!
What does an ellipse shape look like?
An ellipse is a closed curved shape that resembles a squashed circle. It has two distinct points called foci, and the sum of the distances from any point on the ellipse to the two foci is constant. The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter.
What is an eccentric circle?
For Ellipse: The 2 circles made using the the ellipse center as their center, and major and minor axis of the ellipse as the dia.For Hyperbola: 2 Circles with centers at the center of symmetry of the hyperbola and dia as the transverse and conjugate axes of the hyperbolaRead more: eccentric-circles
Does the foci of an ellipse lie on the major axis of the ellipse?
yes
How do you find the surface area of an ellipse?
An ellipse is a two dimensional shape, so it does not have a "surface area", only an "area". Any ellipse has two radii, the major one and the minor one. We'll call them R1 and R2. The area of the ellipse then can be calculated with the function: a = πR1R2 You will notice that this is the same equation as the area for a circle. The circle is a special case though, because it is an ellipse in which both axes are the same length. In that case, R1 equals R2, so we can simply call it r and say: a = πr2
Is it true that the foci of an ellipse lie on the major axis of the ellipse?
Yes.
What is the major difference between the equation for a hyperbola and for an ellipse?
ellipse are added hyperbola are subtracted
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.
