Polar equations and their graphs

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. 1.

   Esme plots the polar point (4, 90°): turn 90° counterclockwise, then walk r = 4. Which (x, y) point is it?

   • (4, 90)
   • (0, -4)
   • (0, 4)
   • (4, 0)
2. 2.

   Jun plots the polar point (-3, 180°): turn 180° counterclockwise, then walk r = -3. Which (x, y) point is it?

   • (-3, 180)
   • (3, 0)
   • (-3, 0)
   • (0, 3)
3. 3.

   Luz plots the polar point (-2, 90°): turn 90° counterclockwise, then walk r = -2. Which (x, y) point is it?

   • (-2, 90)
   • (-2, 0)
   • (0, -2)
   • (0, 2)
4. 4.

   Noah makes a table of points for r = 1 + 4 cos θ. What is r when θ = 120°?

   -1
5. 5.

   Pia makes a table of points for r = 6 + 2 cos θ. What is r when θ = 60°?

   7
6. 6.

   Tala makes a table of points for r = 8 cos 3θ. What is r when θ = 60°?

   -8
7. 7.

   Esme makes a table of points for r = 6 cos 2θ. What is r when θ = 90°?

   -6
8. 8.

   Jun graphs r = 8 cos θ, a circle through the pole. What is the radius of the circle?

   4
9. 9.

   Kira graphs r = -6 sin θ, a circle through the pole. What is the radius of the circle?

   3
10. 10.

    Luz graphs r = -10 cos θ, a circle through the pole. What is the radius of the circle?

    5