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Arc Length S = Rθ

Interact with the following app below for a few minutes. Be sure to slide the slider slowly and carefully observe what happens as you do! Then, answer the questions that follow.

Suppose we spin 2.5 radians about a circle whose radius = 6 cm. How far (how many cm) have we traveled?

Suppose we rotate 5.12 radians about a circle. If we traveled a circular distance of 20 feet, what is the radius of the circle?

How many radians do we spin about a circle with radius = 9 ft if we travel a circular distance of 38 feet?