1. Applications of Radian Measure Trigonometry Section 3.2

2. Arc Length on a Circle s=rθ (θ in radians)

3. Example 1a

4. Example 1b A circle has radius 25.60 cm. Find the length of the arc intercepted by a central angle of 54°.

5. Example 2 Erie, PA is approximately due north of Columbia, SC. The latitude of Erie is 42°N, while that of Columbia is 34°N. Find the north- south distance between the two cities.

6. Example 3 A rope is wound around a drum with radius.327 m. How much rope will be wound around the drum if it is rotated though an angle of 132.6°?

7. Example 4 Two gears are adjusted so that the smaller gear (radius of 3.6 in.) drives the larger one (radius of 5.4 in.). If the smaller gear rotates through an angle of 150°, through how many degrees will the larger gear rotate?

8. Area of a Sector of a Circle

9. Example 5 Find the area of a sector of a circle having radius 15.20 ft and central angle 108.0⁰.

10. Practice Page 113 # 3, 6, 9, 11, 15, 21, 27, 33, 47, 53