Three ellipses E1, E2 and E3 have the following lengths of their major and minor axes:
E1: major axis = 10 cm, minor axis = 8 cm
E2: major axis = 12 cm, minor axis = 5 cm
E3: major axis = 16 cm, minor axis = 15 cm
Answer the following questions.
a. (i) For each ellipse, find its eccentricity.
b. (ii) Arrange the three eccentricities in ascending order.
c. (iii) Which ellipse is closest to a circle? Give a brief reason based on your calculations.