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# 4.1 - PowerPoint PPT Presentation

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

• 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.

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

Example Working with Radian Measure

How many radians are in 60 degrees?

Example Working with Radian Measure

How many radians are in 60 degrees?

Example Perimeter of a Pizza Slice

Example Perimeter of a Pizza Slice

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

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

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