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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

Radian and Degree Measure




What you ll learn about
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.




Radian
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



Example working with radian measure
Example Working with Radian Measure

How many radians are in 60 degrees?


Example working with radian measure1
Example Working with Radian Measure

How many radians are in 60 degrees?




Example perimeter of a pizza slice
Example Perimeter of a Pizza Slice


Example perimeter of a pizza slice1
Example Perimeter of a Pizza Slice


Angular and linear motion
Angular and Linear Motion

  • Angular speed is measured in units like revolutions per minute.

  • Linear speed is measured in units like miles per hour.


Nautical mile
Nautical Mile

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



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