Angles in standard position: quadrants, coterminal and reference angles

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Milo's bike wheel turns 31π/6 radians from the positive x-axis. Which angle from 0 to 2π radians ends at the same place?

   7π/6
2. 2.

   Noah's robot spins 21π/4 radians counterclockwise from the positive x-axis. Which angle from 0 to 2π radians ends at the same place?

   5π/4
3. 3.

   Pia draws a turn of 5π/6 radians on a unit circle worksheet. What is its reference angle, in radians?

   π/6
4. 4.

   Ren's robot turns 4π/3 radians counterclockwise from the positive x-axis. What is the reference angle, in radians?

   π/3
5. 5.

   Tala turns a spinner arrow 5π/3 radians from the positive x-axis. What is the reference angle, in radians?

   π/3
6. 6.

   Zee draws a turn of 7π/6 radians on a unit circle worksheet. What is its reference angle, in radians?

   π/6
7. 7.

   Esme's robot turns -150°, clockwise from the positive x-axis. What is the reference angle of the turn?

   30
8. 8.

   Jun's bike wheel turns 495° from the positive x-axis. What is the reference angle of the turn?

   45
9. 9.

   Kira turns a clock hand -240°, clockwise from the positive x-axis. What is the reference angle of the turn?

   60
10. 10.

    Luz spins a spinner arrow 590° from the positive x-axis. What is the reference angle of the turn?

    50