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How is a circle similar to an ellipse?
The eccentricity of a circle is zero.
The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.
The eccentricity of a parabola is 1
The eccentricity of a hyperbola is greater than 1
Definition of eccentric
a person with an unusual or odd personality
bizarre: conspicuously or grossly unconventional or unusual;
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A circle is the perfect shape, all point are equidistant from the center. I believe we could agree that the circle has no eccentricity!!
The eccentricity of a circle is zero.
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On the other hand the ellipse has points that 2 centers, a little eccentric. The farther the 2 points are apart the more eccentric the ellipse is.
If you take any point on the ellipse, the sum of the distances to the focus points is constant. The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.
If you stretch the ellipse too far it will break open and be a parabola. The eccentricity of a Parabolais 1. The parabola just keeps spreading out in both directions. At least it is still symmetrical. It has bottom (vertex),but the top just keeps spreading out.
The eccentricity of a parabola is 1
The eccentricity of a hyperbola is greater than 1
The points on a hyperbola get close to the x-axis and y-axis, but never touch either axis.
The eccentricity of a circle is zero. Think about the equation of each of these shapes Circle x^2 + y^2 = r ^2 How beautiful y^2 = r ^2 - x^2
The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.
Ellipse Equation
(x^2 ÷ a^2) + (y^2 ÷ b^2) = 1
Getting more eccentric with those a^2's an b^2's
Parabola Equation
Y = k * x^2
Now poor y is not squared The eccentricity of a parabola is 1
Hyperbola Equation
x * y = constant
y = constant ÷ x
Now poor x is in the denominator The eccentricity of a hyperbola is greater than 1
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What shape has 1 flat face 1 edge and no vertices?
A circle, ellipse or similar shape.
What four shapes have formulas which include the symbol pi?
A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.
Is every circle an ellipse?
Yes; the circle is a special case of an ellipse.
What do you call a stretched circle?
An oval. Or an ellipse.
How does ellipse differ from a circle?
ellipse is the shape of an egg
What is the shape of a flattened circle called?
The shape of a flattened circle is called an ellipse. The shape is similar to an oval and some may mistakenly call it an oval.
What conic sections describes a closed curve?
An ellipse is a conic section which is a closed curve. A circle is a special case of an ellipse.
What is the difference between a circle and a ellipse?
Basically a circle has a constant radius throughout and an ellipse does not.a circle has a constant radiusan ellipse has two foci. they are at either end of the ellipse
What is a flat circle called?
circle
Is a circle an ellipse?
Yes.
What is a circle when flattened?
Ellipse
What are the difference between circle and ellipse between circle and ellipse?
An ellipse is a shape on which the sum of the distances from every point to two points inside called the foci (focuses) is always the same number. A circle is an ellipse with both foci (focuses) at the same point.
