How stretched is a conic? Eccentricity

Answer Key - Grade 11 Math Worksheet - Challenge Me

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

1. 1.

   Ren writes the equation of an ellipse with a = 10 and e = 3/5. What is b², the other denominator?

   64
2. 2.

   Tala writes the equation of a hyperbola with a = 4 and e = 5/4. What is b², the other denominator?

   9
3. 3.

   Zee writes the equation of an ellipse with a = 13 and e = 12/13. What is b², the other denominator?

   25
4. 4.

   Jun writes the equation of a hyperbola with a = 8 and e = 17/8. What is b², the other denominator?

   225
5. 5.

   A comet comes within 1 AU of the Sun and goes out to 9 AU. Kira rounds e to the nearest hundredth. What is e?

   0.8
6. 6.

   Halley's Comet comes within about 0.58 AU of the Sun and goes out to 35.3 AU. Luz rounds e to the nearest hundredth. What is e?

   0.97
7. 7.

   Mars comes within 206.7 million km of the Sun and goes out to 249.3 million km. Milo rounds e to the nearest hundredth. What is e?

   0.09
8. 8.

   Mercury comes within 46 million km of the Sun and goes out to 69.8 million km. Noah rounds e to the nearest hundredth. What is e?

   0.21
9. 9.

   Pia compares three planets' orbits using the table shown. Which orbit is the most stretched?

   • Mars
   • Mercury
   • Earth
10. 10.

    Zee compares three planets' orbits using the table shown. Which orbit is the most stretched?

    • Mars
    • Venus
    • Uranus