# Exercises - The Measurement of Angles

1. Draw the each given angle in standard position:

1. $60^{\circ}$   $\ians{}$

2. $135^{\circ}$   $\ians{}$

3. $1140^{\circ}$   $\ians{}$

4. $-240^{\circ}$   $\ians{}$

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

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

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

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

2. Convert from degrees to radians:

1. $45^{\circ}$   $\ans{\displaystyle{\frac{\pi}{4}}}$

2. $270^{\circ}$   $\ans{\displaystyle{\frac{3\pi}{2}}}$

3. $1^{\circ}$   $\ans{\displaystyle{\frac{\pi}{180}}}$

4. $-230^{\circ}$   $\ans{\displaystyle{-\frac{23\pi}{18}}}$

5. $540^{\circ}$   $\ans{\displaystyle{3\pi}}$

3. Convert from radians to degrees:

1. $\displaystyle{\frac{2\pi}{3}}$   $\ans{\displaystyle{120^{\circ}}}$

2. $7\pi$   $\ans{\displaystyle{1260^{\circ}}}$

3. $\displaystyle{\frac{\pi}{6}}$   $\ans{\displaystyle{30^{\circ}}}$

4. $\displaystyle{\frac{19\pi}{2}}$   $\ans{\displaystyle{1710^{\circ}}}$