Engineering Board Exam Reviewer · Ellipses · medium

An ellipse has a semi-major axis of 10 and a semi-minor axis of 6. Find its eccentricity.

1. 0.8
2. 0.6
3. 0.75
4. 0.53

Answer

A. 0.8

Solution

c=sqrt(a2-b2)=sqrt(100-36)=sqrt(64)=8. e=c/a=8/10=0.8.

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1. Find the area of an ellipse with semi-major axis 8 cm and semi-minor axis 5 cm.
2. An ellipse has the equation x2/25+y2/16=1. Find the distance between its foci.
3. Find the length of the latus rectum of an ellipse with semi-major axis 10 and semi-minor axis 6.

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