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





