Unit 7 – Review 1 Name __________________________

I. Use your notes (and some previous knowledge) to fill in the crossword table.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 S 16

ACROSS

2. Region bounded by two radii of a circle and their intercepted arc. 7. Greater than 0 degrees, but less than 90 degrees 9. Type of angle generated by a clockwise rotation 10. Vertex is at the origin and initial side is on the positive x-axis 11. A unit of measurement for angles 13. Type of angle generated by a counterclockwise rotation. 14. Starting position of a ray 15. Angles that share the same initial and terminal sides 16. Two angles whose sum is 90 degrees

DOWN

1. Ending Position of a ray 3. Greater than 90 degrees, but less than 180 degrees 4. Two angles whose sum is 180 degrees 5. Measurement of triangles 6. Determined by rotating a ray about its endpoint 8. The distance around the outside of the circle bounded by a central angle 12. A ratio between the intercepted arc and radius of a circle.

S S

II. Sketch each angle in standard position and determine what quadrant it lies in.

1. q130 2. q� 285 3. q3.8 4. q257

5. 4

5S 6.

32S

� 7. 2

5S 8.

611S

III. Write each angle in radian measure as a multiple of S .

9. q30 10. q� 20 11. q150 12. q� 240

IV. Write each angle in degree measure.

13. 2

3S 14.

67S

15. 127S

� 16. 9S

17. 3

7S 18.

3011S

�

V. Find one positive and one negative angle that are coterminal with an angle having the following measures.

19. 6S

20. q145 21. 3

2S 22. q190 23.

152S

�

VI. Determine the quadrant where the following angle lies.

24. 4

3S 25. –1 radians 26. 45o 27. –125o

VII. Sketch the angle in standard position.

28. 6

5S� 29. 545o

VIII. Rewrite the angles in the other angle measure.

30. 5

3S 31. –3.24 radians 32. 250o

IX. Find the angle in radians given the arc length (s). 33. 34. r = 14 feet and s = 8 feet X. Solve as indicated. 35. Find the arc length given: r = 12mm andT =330o 36. Determine the area of a field sprayed by a sprinkler that rotates 135o that has a spray length of 6 ft. XI. Find the reference angle for the following angles. (Units should be the same units as the given angle)

37. 65q 38. 3𝜋4 39. 318q

XII. Find the exact value for each. (No decimals)

40. sin120q 41.5cos4S

42.7tan6S

43. tan2S

� 44. cos 43S

45. sin 240q

12

20