Exercises - Measuring Angles of Rotation

  1. Draw the given angle as a rotation about the origin in the Cartesian plane:

    1. $60^{\circ}$

    2. $135^{\circ}$

    3. $1140^{\circ}$

    4. $-240^{\circ}$

    5. $\frac{\pi}{3}$

    6. $\frac{7\pi}{6}$

    7. $-\frac{\pi}{6}$

    8. $\frac{5\pi}{2}$

  2. Convert from degrees to radians:

    1. $45^{\circ}$

    2. $270^{\circ}$

    3. $1^{\circ}$

    4. $-230^{\circ}$

    5. $540^{\circ}$

    1. $\frac{\pi}{4}$

    2. $\frac{3\pi}{2}$

    3. $\frac{\pi}{180}$

    4. $-\frac{23\pi}{18}$

    5. $3\pi$

  3. Convert from radians to degrees:

    1. $\frac{2\pi}{3}$

    2. $7\pi$

    3. $\frac{\pi}{6}$

    4. $\frac{19\pi}{2}$

    1. $120^{\circ}$

    2. $1260^{\circ}$

    3. $30^{\circ}$

    4. $1710^{\circ}$