Some of you have already figured out how radians WORK, but with this activity we're going to illustrate what radians ARE.[br][br]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.[br][br]Follow these instructions to illustrate this below.[br]1. Create a circle with radius 1, centered at the origin. (you should have points A(0,0) and B(1,0))[br]2. Create a slider representing a number from 0 to 2π (option+p).[br]3. Create a segment of given length[icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon] starting at point A. ENTER a AS THE LENGTH TO TIE THE SEGMENT TO YOUR SLIDER!!![br]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.[br]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!!![br]6. Create circular arc [icon]/images/ggb/toolbar/mode_circlearc3.png[/icon] 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.[br][br]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?[br][br]2. How many radians does it take to go all the way around the circle (360°)?