1. Chapter 4: Lesson 4.1 Radian & Degrees
Vocabulary (page 262)
Vertex
Initial Side
Terminal Side
Standard Position
Angles are measured in either degrees or radians.
Positive vs. Negative Angles
Coterminal Angles

2. Definition of a Radian Measure
Vocabulary (p. 263)
Central Angle
Arc Length
Definition of a Radian Measure
Where = measure of the angle in radians
s = arc length
r = radius
How many radians are in 1 revolution or 360º?

3. Quadrant II
Quadrant I
Quadrant III
Quadrant IV

4. To convert an angle measured in degrees to radians,
multiply the angle in degrees by
To convert an angle measured in radians to degrees,
multiply the angle in radians by

5. Convert each degree measure to radians and then give 2 coterminal angles in radians (1 positive and 1 negative).
180º
90º
45º
30º
60º
150º
210º
135º
315º
120º

6. Find the complement and supplement of each angle in radians.

7. Angle Measures in Degrees-Minutes-Seconds
Convert º to degrees-minutes and seconds.
Convert 35º 23’ 46” to a decimal degree.

8. Finding an Arc Length of a Circle
Finding an Area of a Sector of a Circle

9. #64 A carousel with a 50-foot diameter makes 4 revolutions per minute.
Find the angular speed of the carousel in radians per minute.
b) Find the linear speed (in feet per second).