Engineering Board Exam Reviewer · Ellipses · easy

Find the area of an ellipse with semi-major axis 8 cm and semi-minor axis 5 cm.

1. 125.66 cm2
2. 62.83 cm2
3. 200.96 cm2
4. 100.53 cm2

Answer

A. 125.66 cm2

Solution

Area =π ab=π(8)(5)=40π 125.66 cm2.

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

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