Radian Measure. Many things can be measured using different units.

Radian Measure

Many things can be measured using different units.


Example: Temperature: Fahrenheit and Celsius


Example: Temperature: Fahrenheit and Celsius

Other Examples?

Angles can be measured with different units too.

Angles can be measured with different units too.- Degrees

- Radians:

Angles can be measured with different units too.- Degrees: 1/360th of a circle

- Radians:


- May be relate to the number of days in a year

- Radians:


- May be relate to the number of days in a year

- Radians: ratio between the arc created by the angle and the radius

What is a Radian?

What is a Radian?

Radian: 1 Radian is the measure of the angle which creates an arc which is the same length as the radius.

Radians are typically reported in terms of π.

Radians are typically reported in terms of π.

- There are 2π radians in one full rotation around a circle

You have used Radians before!!


Formula for circumference of a circle:


Formula for circumference of a circle:C = 2πr



Formula for area of a circle:



Formula for area of a circle:A = πr2

Converting from degrees to radians:

Formula:

Radians = Degrees ∙180

Converting from degrees to radians:

Formula:

Radians = Degrees ∙

* Typically leave answer as a fraction in reduced form.

180

Convert to Radians:

30°

Convert to Radians:

90°

Convert to Radians:

400°

Convert to Radians:

–45°

Convert to Radians:

120°

Convert to Radians:

225°

Converting from Radians to Degrees:

Formula:

Degrees = Radians ∙180

Convert from Radians to Degrees:

2

3


4


5

6


7

2


10

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