1. Section5.1 Angles and Their Measure

2. Angles

5. Measuring Angles Using Degrees

6. Names of Angles

8. Degree-Minute-Second 1 Degree = 60 Minutes 1 Minute = 60 seconds Thus »1 ° = 60’ »1’ = 60” »1 ° = 3600”

9. Convert 50 °6’21” to a decimal in degrees Convert 40 °10’25” to a decimal in degrees Convert 73 °40’40” to a decimal in degrees

10. Convert 21.256° to degree-minute-second Convert 18.255° to degree-minute-second Convert 29.411° to degree-minute-second

11. 5 Min Challenge Convert to a decimal Convert to D-M-S

12. Measuring Angles Using Radians

14. Example 20 inches 5 inches

15. Relationship between Degrees and Radians

17. Example

19. Top 10 #1-5 Convert the following to degree measure

20. Convert the following to radian measure 220 ° 315 ° -90° 900 ° -270 ° Top 10 #6-10

21. Drawing Angles in Standard Position

22. Angles Formed by Revolution of Terminal Sides

23. Example

24. Degree and Angle Measures of Selected Positive and Negative Angles

27. Coterminal Angles

29. Example

32. Find, and sketch the coterminal angle with…

33. Complementary & Supplementary Angles Complementary angles –Sum of the two angles = 90°; Or… Supplementary angles –Sum of the two angles = 180° °; Or… Find the complement & Supplement of…

34. Find the complement & supplement of…

35. The Length of a Circular Arc

37. Example

39. Linear and Angular Speed

41. Example

42. Exit Slip Convert from degrees to radians 1)152) 1203) 315 Convert from radians to degrees 4)5) Draw each angle in standard position 6)7) 8)9) Find a positive or negative co-terminal angle with the following 10)11)