Question

which ellipse has an eccentricity of 0.0?

Explanation:

Step1: Recall eccentricity formula

The eccentricity \(e\) of an ellipse is given by \(e=\frac{c}{a}\), where \(c\) is the distance from the center to a focus and \(a\) is the semi - major axis. When \(e = 0\), \(c=0\).

Step2: Understand the geometric meaning

When \(c = 0\), the foci of the ellipse coincide with the center. This is the case of a circle. A circle is a special type of ellipse with \(a = b\) (semi - major and semi - minor axes are equal) and \(e=0\).

Answer:

The circle (the ellipse that looks like a perfect round shape in the options)