Revolutions, Degrees, and Radians Students will be able to explain what a radian is and how it relates to the circumference of a circle.

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Presentation transcript:

Revolutions, Degrees, and Radians Students will be able to explain what a radian is and how it relates to the circumference of a circle.

Launch Radii (cm) Angle (degree) OB1 A1OB1 OB2 A2OB2 OB3 A3OB3

Be really precise! Don’t put 105, if the angle is 104. Explore Be really precise! Don’t put 105, if the angle is 104. You will be asked to write the definition of a radian in your own words before you leave today. You may want to think about what you will write as a group.

Sketch a picture of each to justify your thinking. Explore Sketch a picture of each to justify your thinking.

Summary How many radians fit in 180? How many radians fit in 360?

Exit Question A radian is the measure of a central angle such that ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________. There are ________ radians and _______ degrees in the circumference of a circle.