1. Midterm Exam
Would the following students please come to the board and share your methods of solving with solutions:

2. Trigonometry
Enjoy!

3. Section 4.1 Angles and their measures
-Convert from degrees to radians and vice versa
-Find arc length
-Solve problem with angular speed

4. DMS
DMS stands for Degree-Minutes-Seconds, and is a type of degree measurement where:

5. Converstions from DMS to degrees and vice versa
DMS to Degree Degree to DMS

6. Your turn.
Convert from degrees to DMS Convert from DMS to degrees

7. What is 1 radian?
A central angle of a circle has a measure of 1 radian if it intercepts an arc with the same length as the radius.

8. Definition of a Radian
the radian measure of the angle is the ratio of the length of the intercepted arc to the radius of the circle
where θ is a central angle, s is the intercepted arc, and r is the radius

9. Finding a conversion factor
At 360 degrees the radian measure would be the ratio of the circumference to the radius

10. So our conversion factors are:
From radians to degrees
From degrees to radians

11. Try these How many radians are in 120°?
Convert π/6 from radians to degrees.
Change 7π/9 to degrees.

12. Arc Length Formulas
For Radian Measure For Degree Measure

13. Pizza Pi Time!
Find the perimeter of a 50° slice of a large (diameter = 14 in.) pizza.

14. Let’s race!
It takes 10 identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inches shorter than the outside arc, what is the width of the track?

15. Rollin’ rollin’ rollin’
Chuck’s truck has wheels 36 inches in diameter. If the wheels are rotating at 360 rpm (revolutions per minute), find the truck’s speed in miles per hour.