1. Radian Measure

2. Many things can be measured using different units.

3. Example: Temperature: Fahrenheit and Celsius

4. Many things can be measured using different units. Example: Temperature: Fahrenheit and Celsius Other Examples?

5. Angles can be measured with different units too.

6. - Degrees - Radians:

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

8. Angles can be measured with different units too. - Degrees: 1/360 th of a circle - May be relate to the number of days in a year - Radians:

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

10. What is a Radian?

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

12. 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.

13. Radians are typically reported in terms of π.

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

15. You have used Radians before!!

16. Formula for circumference of a circle:

17. You have used Radians before!! Formula for circumference of a circle: C = 2πr

18. You have used Radians before!! Formula for circumference of a circle: C = 2πr Formula for area of a circle:

19. You have used Radians before!! Formula for circumference of a circle: C = 2πr Formula for area of a circle: A = πr 2

20. Converting from degrees to radians: Formula: Radians = Degrees ∙

21. Converting from degrees to radians: Formula: Radians = Degrees ∙ * Typically leave answer as a fraction in reduced form.

22. Convert to Radians: 30°

23. Convert to Radians: 90°

24. Convert to Radians: 400°

25. Convert to Radians: –45°

26. Convert to Radians: 120°

27. Convert to Radians: 225°

28. Converting from Radians to Degrees: Formula: Degrees = Radians ∙

29. Convert from Radians to Degrees: