The eccentricity of an ellipse, \(e = \frac{c}{a}\)

The ratio of the minor to the major axis, \( \frac{2b}{2a}\) = \( \frac{b}{a}\)

In an ellipse the relationship \(c^2 + b^2 = a^2 \) holds true.

\( (ea)^{2} + b^2 = a^2 \)

\( b^2 = a^2 - (ea)^{2} \)

\( b^2 = a^2 (1 - e^2) \)

\( \frac{b}{a} = \sqrt{ (1 - e^2)} \)

\( \frac{b}{a} = 0.75 \)