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Home > CCG > Chapter 10 > Lesson 10.1.5 > Problem 10-55

10-55.

. Use the sectors in circles and to answer the following questions. Homework Help ✎

  1. What is the ratio of the arc length to the radius of circle ? Leave your answer in terms of .

    The arc length is .

  2. What is the ratio of the arc length to the radius of circle ?

    You can use the same method as in part (a).

    As in part (a), the ratio is .

  3. The ratio of the arc length to the radius of a circle is called a radian. Why will all sectors with a central angle of have the same radian measure?

    Answers may vary. Example: The circles are similar.