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Section5.1 Angles and Their Measure

Section5.1 Angles and Their Measure. Angles. Measuring Angles Using Degrees. Names of Angles. Degree-Minute-Second. 1 Degree = 60 Minutes 1 Minute = 60 seconds Thus 1 ° = 60’ 1’ = 60” 1 ° = 3600”. Convert 50 °6’21” to a decimal in degrees Convert 40 °10’25” to a decimal in degrees

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Section5.1 Angles and Their Measure

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  1. Section5.1Angles and Their Measure

  2. Angles

  3. Measuring Angles Using Degrees

  4. Names of Angles

  5. Degree-Minute-Second • 1 Degree = 60 Minutes • 1 Minute = 60 seconds • Thus • 1° = 60’ • 1’ = 60” • 1° = 3600”

  6. 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

  7. Convert 21.256° to degree-minute-second • Convert 18.255° to degree-minute-second • Convert 29.411° to degree-minute-second

  8. 5 Min Challenge • Convert to a decimal • Convert to D-M-S

  9. Measuring Angles Using Radians

  10. Example 20 inches 5 inches

  11. Relationship between Degrees and Radians

  12. Example

  13. Example

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

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

  16. Drawing Angles in Standard Position

  17. Angles Formed by Revolution of Terminal Sides

  18. Example

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

  20. Coterminal Angles

  21. Example

  22. Example

  23. Example

  24. Find, and sketch the coterminal angle with…

  25. 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…

  26. Find the complement & supplement of…

  27. The Length of a Circular Arc

  28. Example

  29. Example

  30. Linear and Angular Speed

  31. Example

  32. Exit Slip Convert from degrees to radians 15 2) 120 3) 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)

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