Question

What is the eccentricity of the ellipse shown below? Help!!

Answer 1

A) √3/4

Explanation:

Eccentricity describes how closely a conic section resembles a circle:

`e=\sqrt{1-(b^2)/(a^2)}\\\\e=\sqrt{1-(52)/(64)}\\\\e=\sqrt{(12)/(64)}\\\\e=\sqrt{(3)/(16)}\\\\e=(√(3))/(4)`

Note that
`a^2 > b^2` in an ellipse, so the decision of these values matter.