1. Radian Measure

2. What is to be learned What a radian is How to convert between radians and degrees

3. Units Length m, cm, km, miles, inches, feet etc. Weight g, kg, stones, pounds, ounces etc Angles Degrees 

4. Introducing Radian Measure Want arc = radius

5. Introducing Radian Measure Want arc = radius

6. Introducing Radian Measure Want arc = radius 1 radian

7. Radians and Degrees Some Sums (or sum somes?) 1 radian 360 0 Cross multiplying r 2πr = 2π radians = 360 0 π radians = 180 0 1 radian ~ 57 0

8. Radians and Degrees Some Sums (or sum somes?) 1 radian 360 0 Cross multiplying r 2πr = 2π radians = 360 0 π radians = 180 0 1 radian ~ 57 0

9. Radians to Degrees π radians = 180 0 radiansdegrees π= 180 1= radiansDegrees 180 π X 180 π

10. RadiansDegrees = 45 0 X 180 π π 4 radians π 4 X 180 π = 180 π 4π4π

11. RadiansDegrees = 150 0 X 180 π 5π 6 radians 5π 6 X 180 π = 900 π 6π6π

12. Degrees Radians radians X π 180 100 0 100 1 = 100 π 180 X π 180 10 18 = 5 π 9 c 

13. Degrees Radians radians X π 180 240 0 240 1 = 240 π 180 X π 180 24 18 = 4 π 3 12 9

14. Radian Measure Another unit for measuring angles π radians = 180 0 1 radian ~ 57 0

15. RadiansDegrees = 135 0 X 180 π 3π 4 radians 3π 4 X 180 π = 540 π 4π4π

16. Degrees Radians radians X π 180 200 0 200 1 = 200 π 180 X π 180 20 18 = 10 π 9