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

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Presentation transcript:

Radian Measure

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

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

Introducing Radian Measure Want arc = radius

Introducing Radian Measure Want arc = radius

Introducing Radian Measure Want arc = radius 1 radian

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

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

Radians to Degrees π radians = radiansdegrees π= 180 1= radiansDegrees 180 π X 180 π

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

RadiansDegrees = X 180 π 5π 6 radians 5π 6 X 180 π = 900 π 6π6π

Degrees Radians radians X π = 100 π 180 X π = 5 π 9 c 

Degrees Radians radians X π = 240 π 180 X π = 4 π

Radian Measure Another unit for measuring angles π radians = radian ~ 57 0

RadiansDegrees = X 180 π 3π 4 radians 3π 4 X 180 π = 540 π 4π4π

Degrees Radians radians X π = 200 π 180 X π = 10 π 9