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10-55.

Use the sectors in circles and to answer the following questions.  

Two circles: smaller Circle with center point, D and shaded sector labeled, central angle, 30 degrees, radius, 3. larger Circle with center point, E, and shaded sector labeled, central angle, 30 degrees, radius, 5.

  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.