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Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems.

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Presentation on theme: "Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems."— Presentation transcript:

1 Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems

2 Converting Between Radians and Degrees To ChangeMultiply byExample 2

3 Converting Decimal Degrees to Degrees/Minutes/Seconds D˚ M’ S” = D˚ + ˚ + ˚ Example: Convert 19˚ 47’ 23” to decimal degrees. 3

4 Converting Radians to Degrees/Minutes/Seconds  Convert radians to decimal degrees  Non-decimal portion is in degrees  Multiply decimal portion by 60’  Non-decimal portion is minutes  Multiply decimal portion by 60” & round  Seconds 4

5 Converting Radians to Degrees/Minutes/Seconds (Cont.) Example: If Q =3 radians, approximate Q in terms of degrees/minutes/seconds. 5

6 Length of a Circular Arc 6

7 Example 7

8 Area of a Circular Arc 8

9 Example 9

10 Practice Problems  Page 409 Problems 9-37 10

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