How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this understanding to determine the relationship between angle and arc lengths not on the unit circle to find one or the other.

Concepts

radians, arc length, angle measurement, unit circle, degrees, conversion factors, pi

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on the relationship between the arc length and the angle of rotation

Classroom Considerations

• The class should know the decimal approximation of pi
• Requires setting up a login to a free CK-12 account

Pros

• Includes hints for most problems
• Shows the correct answer when the wrong one is given

Cons

• The video does not address arc length

Common Core

HSF-TF.A.1