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

Question

Physics

Emelia Simmons

29 July, 23:57

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

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Answers (1)

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Carl Butler · 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