wikiHow Calculating Area of Ellipse Practice Problems The formula for calculating the area of an ellipse is: A = πab 1. An elliptical pool has a semi-major axis of 12 meters and a semi-minor axis of 8 meters. What is the area of the pool in square meters? 2. A satellite dish is in the shape of an ellipse with a semi-major axis of 2 feet and a semi-minor axis of 1.5 feet. What is the area of the dish in square feet? 3. An egg has a semi-major axis of 3 centimeters and a semi-minor axis of 2 centimeters. What is the area of the egg in square centimeters? 4. A race track is in the shape of an ellipse with a semi-major axis of 20 meters and a semi-minor axis of 10 meters. What is the area of the track in square meters? 5. An archery target has a semi-major axis of 24 inches and a semi-minor axis of 18 inches. What is the area of the target in square inches? 6. The shape of a pond is an ellipse with a semi-major axis of 6 meters and a semi-minor axis of 4 meters. What is the area of the pond in square meters? 7. A football field has a semi-major axis of 55 yards and a semi-minor axis of 30 yards. What is the area of the field in square yards? 8. A decorative mirror has a semi-major axis of 2 feet and a semi-minor axis of 1.5 feet. What is the area of the mirror in square feet? 9. A planet has an elliptical orbit with a semi-major axis of 30 million kilometers and a semi-minor axis of 25 million kilometers. What is the area of the planet's orbit in square kilometers? 10. A skating rink has a semi-major axis of 80 feet and a semi-minor axis of 50 feet. What is the area of the rink in square feet? 11. A dinner plate has a semi-major axis of 8 inches and a semi-minor axis of 6 inches. What is the area of the plate in square inches? 12. A stage curtain has a semi-major axis of 12 feet and a semi-minor axis of 8 feet. What is the area of the curtain in square feet? 13. The shape of a rainbow is an ellipse with a semi-major axis of 10 miles and a semi-minor axis of 8 miles. What is the area of the rainbow in square miles? 14. A piece of paper has an elliptical watermark with a semi-major axis of 2 inches and a semi-minor axis of 1.5 inches. What is the area of the watermark in square inches? 15. A roller skating rink has a semi-major axis of 100 feet and a semi-minor axis of 60 feet. What is the area of the rink in square feet? 16. A museum display case has a semi-major axis of 5 feet and a semi-minor axis of 4 feet. What is the area of the case in square feet? 17. A basketball court has a semi-major axis of 47 feet and a semi-minor axis of 30 feet. What is the area of the court in square feet? 18. A hula hoop has a semi-major axis of 16 inches and a semi-minor axis of 12 inches. What is the area of the hoop in square inches? 19. The shape of a lighthouse lens is an ellipse with a semi-major axis of 6 feet and a semi-minor axis of 4 feet. What is the area of the lens in square feet? Page