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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
What else can I help you with?
What shape has 1 flat face 1 edge and no vertices?
A circle, ellipse or similar shape.
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 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 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 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 is a flat circle called?
circle
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
Is a circle an ellipse?
It is a SPECIAL form of ellipse. In an ellipse the centre and the two foci are at separate points on one axid. In a circle the centre and the two foci are ALL at the circle centre.
What is a circle when flattened?
Ellipse
Why are circle and ellipse the same?
They are notnecessarily the same. A circle is a subcategory of an ellipse, meaning that every single circle is guaranteed to be an ellipse, but not all ellipses will be a circle. Just like a square will be a rectangle, but not all rectangles will be squares. A circle requires that the radius remains constant throughout the entire circle, whereas an ellipse does not require this. It just has an extra requirement that disqualifies some ellipses.
