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.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
Compare the arc length formulas for the central angle in degrees and in radians. Which one is simpler? Why?
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Open-ended question 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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Prerequisite Resources
More from Length of Arc and Area of Sector of a Circle
