2. Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions

3. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-3 Figure 1.9 Radian Measure of Angles

4. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-4 The radian measure of the angle  in standard position is the directed length of the intercepted arc on the unit circle. Radian Measure of Angles

5. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-5 Conversion from degrees to radians or radians to degrees is based on 180 degrees = π radians. Degree-Radian Conversion

6. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-6 Figure 1.12 Radian Measure of Angles

7. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-7 Figure 1.15 Radian Measure of Angles

8. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-8 Figure 1.17 The length s of an arc intercepted by a central angle of  radians on a circle of radius r is given by s =  r. Arc Length of a Circle

9. 1.2 Copyright © 2011 Pearson Education, Inc. Slide 1-9 Figure 1.21 The area A of a sector with central angle  (in radians) in a circle of radius r is given by Area of a Sector of a Circle