Final answer:
The distance between the foci of an ellipse is always the same, and it determines the shape or roundness of the ellipse.
Step-by-step explanation:
An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is constant. This means that the distance between the foci of an ellipse is always the same.
The distance between the foci determines the shape or roundness of the ellipse, and it is directly related to the length of the major axis. The ratio of the distance between the foci to the length of the major axis is called the eccentricity of the ellipse.
Ellipses have fascinating properties in mathematics and geometry. They are geometric shapes defined by their characteristic elongated, oval-like appearance.
An ellipse is a set of points where the sum of the distances from two fixed points (called the foci) to any point on the ellipse is constant.