Explore how the definition of a radian is visualized and find its relationship to the radius of a circle.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
In your own words, describe an angle that has a measure of 1 radian.
What is the angle measure of a semicircle in radians?
What is the angle measure of a full circle in radians?
What is the circumference of a circle with radius [math]r=2[/math]?[br]
What is the arc length of a semicircle if the circle has a radius of [math]r=3[/math]?[br]
What can you say about the ratio of the arc length to the corresponding central angle?