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Radians & Degrees

Angles in Standard Position Revisited

Trig. Functions & Graphs

Transformations

Trig. Identities

Trig. Equations

Summary&Test

LESSON 1: Radians & Degrees

 

jdsmathnotes

 

 


Angle Measure:

 

Degree measure:      

 

Text Box:
 

 

 

 

 

 

 


Radian measure: One radian is the measure of an angle at the centre of a circle whose arc length [a] is equal to the radius [r].

 

The radian measure of an angle is given by the following formula:

 

 

 

 

 

 

 
                                               

 

 

 

 

 

 

                                                                                                              

                                             

                                                                                                                                                                                                                                                           

Relation between Radians and degrees:

 

Text Box:                  

 

 

 

 

 

Example 1: Conversions from radian measure to degree measure

 

 

Solution: 

 

 

          

                                                

 


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Example 2: Conversions from degree measure to radian measure

 

 

Solution: 

 

 


                  

 

 

 

 

 

 

 


 

 

 

 

                                                           

 

 

 

 

 

 

Example 3:

 

Solutions: 

Text Box:

 

                                        

                                                                                               

 

 

 

 

 

 

 

 

 

 

 


 

 

Example 4: Angular Velocity

An electric motor turns at 2500 rpm’s (rev’s per minute).  Express this angular velocity in radians per second to the nearest hundredth.

Solution:

 

 

 

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