**Radian Measure**

Radians, Degrees and the Unit Circle

Everything you need to know for converting between Degrees and Radian Measure, memorizing and evaluating the Unit Circle, and understanding Arc Length, Area of a Sector and Angular and Linear Velocity.

## Degrees to Radians

56 min 21 Examples

- Intro to Video: Degrees and Radians
- Overview of Radian Measure
- How to Convert Degrees to Radians and Radians to Degrees
- Examples #1-6: Convert from Degree to Radian Measure
- Examples #7-10: Convert from Degree or DMS to Radian Measure
- Examples #1-7: Convert from Radians to Degree Measure
- Examples #1-4: Find Radians, Degrees, and Sketch in Standard Position

## Arc Length Formula

31 min 5 Examples

- Intro to Video: Arc Length and Area of a Sector
- Overview of Arc Length
- Two Examples – Calculate the arc length given the radius and central angle
- Example – how much does a smaller wheel causes a larger wheel to rotate?
- Example – pulley raising a weight
- Overview of Area of a Sector
- Two Examples – calculate the area of each sector

## Unit Circle

1 hr 38 min 36 Examples

- Intro to Video: Unit Circle
- Quick Review of the Six Trig Functions and how to represent them in a Unit Circle
- Special Right Triangles and their Importance
- Creating the Unit Circle – Left Hand Trick!
- Examples #1-7: Evaluate the Unit Circle
- Examples #8-18: Evaluate the Unit Circle
- Examples #19-27: Evaluate the Unit Circle
- Examples #28-36: Evaluate the Unit Circle

## Angular and Linear Velocity

25 min 4 Examples

- Intro to Video: Angular Velocity and Linear Velocity
- Overview of Angular Velocity and Rotary Motion
- Overview of Linear Velocity
- Example – calculate the angular velocity of two pulleys
- Example – Given the Earth travels around the Sun, find the angle formed in one day
- Example – Given the Earth travels around the Sun, find the angular velocity
- Example – Given the Earth travels around the Sun, find the linear velocity of Earth