1. Notes on Arc Lengths and Areas of Sectors
Precalculus 5.1

2. 5.1

3. Examples

4. Examples

5. II. Arc Lengths
***When using this formula, you must be in radians!!

6. Examples:
Find the length of the arc intercepted by a central angle having each of the following measures.

7. Examples

8. Word Problems
Reno, NV, is due north of Los Angeles. The latitude of Reno is 40° N, while the latitude of Los Angeles is 34° N. If the radius of the Earth is 6400 km, find the north-south distance between the two cities.

9. Word Problems
Given the picture of the pulley with the weight, answer the following:
How many inches will the weight rise if the pulley is rotated through an angle of 71° 50’ ?

10. Remember:

11. PART B:
Through what angle, to the nearest minute, must the pulley be rotated to raise the weight 6 in?
Remember:

12. III. Areas of Sectors
***When using this formula, you must be in radians!!

13. Examples Remember:

14. Examples Remember: and