Question

What is the eccentricity of the ellipse if its major axis is twice its minor axis?

Answer 1

given major axis is four times its minor axis. so a=4b

eccentricity, e = square root of (a^2-b^2) / a
= square root of ((4b)^2-b^2) / (4b)
= square root of (15b^2) / (4b)
= √15 b/(4b)
= √15/4 = 0.968