Read the following study guide for a concept review:
Trigonometry and Angles Study Guide
Practice Questions
For each angle, give the measure in degrees and in radians. Sketch the angle.
| 1. | one-tenth of a full circle |
| 2. | one-third of a full circle |
| 3. | one-half of a right angle |
| 4. | two-thirds of a right angle |
Convert the following angle measurements from degrees to radians. Sketch the resulting angle.
| 5. | 135° |
| 6. | 210° |
| 7. | 330° |
| 8. | 315° |
| 9. | 20° |
| 10. | 100° |
| 11. | 206° |
| 12. | 144° |
| 13. | 1° |
Convert the following angles from radian measure to degrees.
| 14. | ![]() |
| 15. | ![]() |
| 16. | ![]() |
| 17. | ![]() |
| 18. | ![]() |
| 19. | ![]() |
| 20. | ![]() |
| 21. | 4 |
Answers
| 1. | ![]() |
| 2. | ![]() |
| 3. | ![]() |
| 4. | ![]() |
| 5. | ![]() |
| 6. | ![]() |
| 7. | ![]() |
| 8. | ![]() |
| 9. | ![]() |
| 10. | ![]() |
| 11. | ![]() |
| 12. | ![]() |
| 13. | ![]() |
| 14. | 225° |
| 15. | 240° |
| 16. | 300° |
| 17. | 22.5° |
| 18. | 108° |
| 19. | 126° |
| 20. | ![]() |
| 21. | ![]() |
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