CPM Homework Banner

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

10-55.

Two circles: smaller Circle with center point, D and shaded sector, central angle labeled, 30 degrees, radius, 3. larger Circle with center point, E, and shaded sector, central angle labeled, 30 degrees, radius, 5.Use the sectors in circles and to answer the following questions.  

  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.