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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

4.1

Radian and Degree Measure


Quick review

Quick Review


Quick review solutions

Quick Review Solutions


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.


Trigonometric functions

Trigonometric Functions


Why 360

Why 360º?


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


Degree radian conversion

Degree-Radian Conversion


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?


Arc length formula radian measure

Arc Length Formula (Radian Measure)


Arc length formula degree measure

Arc Length Formula (Degree Measure)


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.


Distance conversions

Distance Conversions


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