What is a Radian?
Explore how the definition of a radian is visualized and find its relationship to the radius of a circle.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
In your own words, describe an angle that has a measure of 1 radian.
Task 3
What is the angle measure of a semicircle in radians?
Task 4
What is the angle measure of a full circle in radians?
Task 5
What is the circumference of a circle with radius ?
Task 6
What is the arc length of a semicircle if the circle has a radius of ?
Task 7
What can you say about the ratio of the arc length to the corresponding central angle?