Deriving the Arc Length Formula

Deriving the Arc Length Formula

Explore how the length of an arc relates to the circumference of a circle and the measure of its central angle.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Pregunta abierta 1

Compare the arc length formulas for the central angle in degrees and in radians. Which one is simpler? Why?

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Pregunta abierta 2

The formula relating arc length to the central angle was derived by dividing the circumference into a whole number of equal parts. Will this formula hold for any arc? Why or why not?

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