View
218
Download
1
Category
Preview:
Citation preview
Radian Measure
Many things can be measured using different units.
Many things can be measured using different units.
Example: Temperature: Fahrenheit and Celsius
Many things can be measured using different units.
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:
Angles can be measured with different units too.- Degrees: 1/360th of a circle
- May be relate to the number of days in a year
- Radians:
Angles can be measured with different units too.- Degrees: 1/360th of a circle
- 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.
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!!
You have used Radians before!!
Formula for circumference of a circle:
You have used Radians before!!
Formula for circumference of a circle:C = 2πr
You have used Radians before!!
Formula for circumference of a circle:C = 2πr
Formula for area of a circle:
You have used Radians before!!
Formula for circumference of a circle:C = 2πr
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
Convert from Radians to Degrees:
4
Convert from Radians to Degrees:
5
6
Convert from Radians to Degrees:
7
2
Convert from Radians to Degrees:
10
Recommended