Home > CCG > Chapter 10 > Lesson 10.1.5 > Problem 10-55
10-55.
What is the ratio of the arc length to the radius of circle
? Leave your answer in terms of . The arc length is
. 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
. 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.