IM3.6.6 Radians 1
Task 1
Some of you have already figured out how radians WORK, but with this activity we're going to illustrate what radians ARE.
A radian is a pure measure based on the radius of a circle: 1 radian= the angle made when the radius is wrapped around the circle.
Follow these instructions to illustrate this below.
1. Create a circle with radius 1, centered at the origin. (you should have points A(0,0) and B(1,0))
2. Create a slider representing a number from 0 to 2π (option+p).
3. Create a segment of given length
starting at point A. ENTER a AS THE LENGTH TO TIE THE SEGMENT TO YOUR SLIDER!!!
4. Right click on the segment and choose object properties. Change the color and the weight of the segment so you can see it better.
5. Create an angle of given size by clicking on B, then A, then ENTER a AS THE SIZE TO TIE THE ANGLE TO YOUR SLIDER!!!
6. Create circular arc 
BB'. Right click on the arc and choose object properties. Change the color and the weight of the arc so you can see it better.
The slider represents radian measurements, or how many radii of the circle it takes to make the angle.
starting at point A. ENTER a AS THE LENGTH TO TIE THE SEGMENT TO YOUR SLIDER!!!
4. Right click on the segment and choose object properties. Change the color and the weight of the segment so you can see it better.
5. Create an angle of given size by clicking on B, then A, then ENTER a AS THE SIZE TO TIE THE ANGLE TO YOUR SLIDER!!!
6. Create circular arc BB'. Right click on the arc and choose object properties. Change the color and the weight of the arc so you can see it better.
The slider represents radian measurements, or how many radii of the circle it takes to make the angle.1. How many degrees in one radian? 2. How many radians does it take to go all the way around the circle (360°)?