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4.1

4.1. Radian and Degree Measure. Quick Review. Quick Review Solutions. What you’ll learn about. The Problem of Angular Measure How to use Degree and Radian measure Circular Arc Length Angular and Linear Motion … and why Angles are the domain elements of the trigonometric functions.

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4.1

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  1. 4.1 Radian and Degree Measure

  2. Quick Review

  3. Quick Review Solutions

  4. What you’ll learn about • The Problem of Angular Measure • How to use Degree and Radian measure • Circular Arc Length • Angular and Linear Motion … and why Angles are the domain elements of the trigonometric functions.

  5. Trigonometric Functions

  6. Why 360º?

  7. Radian A central angle of a circle has measure 1 radian if it intercepts an arc with the same length as the radius. Click here

  8. Degree-Radian Conversion

  9. Example Working with Radian Measure How many radians are in 60 degrees?

  10. Example Working with Radian Measure How many radians are in 60 degrees?

  11. Arc Length Formula (Radian Measure)

  12. Arc Length Formula (Degree Measure)

  13. Example Perimeter of a Pizza Slice

  14. Example Perimeter of a Pizza Slice

  15. Angular and Linear Motion • Angular speed is measured in units like revolutions per minute. • Linear speed is measured in units like miles per hour.

  16. Nautical Mile A nautical mile (naut mi) is the length of 1 minute of arc along Earth’s equator.

  17. Distance Conversions

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