October 9, 2012 What is a radian?

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Presentation transcript:

October 9, 2012 What is a radian? Quiz last class this week! HW 4.1: Pg. 290 #1-6, 11, 12 Warm-up: Describe the sequence of transformations and sketch: Write the equation for the following graph:

Angles Angle 1 Angle 2 Angle 3 Angle 4 Angle 5 Angle 6 Angle 7 Average:

As a way of describing the angles, let us NOT measure angles in degrees anymore. Instead, measure them in terms of each of these congruent central angles. Since the radius was used to construct the arc length of each angle, we will refer to the measure as 1 radian. 6. How many degrees are in 1 radian? 7. How many radians in 1 degree? 8. How many radians are in a circle? How many radians are in half a circle? What is π radians?