How stretched is a conic? Eccentricity

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo graphs the ellipse x²/25 + y²/16 = 1 on a graphing app. What is its eccentricity e?

   3/5
2. 2.

   Noah graphs the ellipse x²/36 + y²/100 = 1 on a graphing app. What is its eccentricity e?

   4/5
3. 3.

   Tala graphs the hyperbola x²/16 − y²/9 = 1 on a graphing app. What is its eccentricity e?

   5/4
4. 4.

   Zee graphs the hyperbola y²/9 − x²/16 = 1 on a graphing app. What is its eccentricity e?

   5/3
5. 5.

   Jun graphs the hyperbola x²/144 − y²/25 = 1 on a graphing app. What is its eccentricity e?

   13/12
6. 6.

   Kira graphs the hyperbola y²/64 − x²/225 = 1 on a graphing app. What is its eccentricity e?

   17/8
7. 7.

   An elliptical running track is 100 m long and 60 m wide. Luz measures how stretched it is. What is its eccentricity e?

   4/5
8. 8.

   A whispering gallery, an elliptical room, is 26 m long and 10 m wide. Milo measures how stretched it is. What is its eccentricity e?

   12/13
9. 9.

   An elliptical garden bed is 34 ft long and 16 ft wide. Noah measures how stretched it is. What is its eccentricity e?

   15/17
10. 10.

    An elliptical pond is 50 ft long and 14 ft wide. Pia measures how stretched it is. What is its eccentricity e?

    24/25