An ellipse is described as [ (x/A)2 + (y/B)2 = C2 ]
If [ A=B ] then the ellipse is a circle.
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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.
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If you measure the distance from the centre of the circle to any point on the circle, it is always the same. eccentric figures such as ellipses and hyperbolas) do not have this property.The circle is not eccentric, so its eccentricity is 0. There is a formulation for this in analytic geometry . . .
The radius of a circle = the diameter of the circle divided by 2
Ellipses are a scientific word for the shape of an oval. for example the planets orbits are ellipses.