# Degree Families and Radian Families

## 35 terms

0°, 90°, 180°, 270°, 360°...lie onx or y axes

### 45° Family (Degree Family)

45°, 135°, 225°, 315°...

### 30° Family (Degree Family)

30°, 150°, 210°, 330°...

### 60° Family (Degree Family)

60°, 120°, 240°, 300°...

Θ

Θ-180

Θ+180

360-Θ

### Positive Angles

measured counter clockwise

### Negative Angles

measured clockwise

### Coterminal Angles

have different measures but end (terminate) at the same ray...Θ±360

### Concentric Circles

circles with the same center

### Center Angle Measure

equals intercepted arc measure

measuring the arc based on the number of radii

### Conversion Factor (3) (Radian Family)

π/4, 3π/4, 5π/4, 7π/4

π/6, 5π/6, 7π/6, 11π/6

π/3, 2π/3, 4π/3, 5π/3

0, π/2, 2π/2, 3π/2, 2π

### Standard Position

Angles sketched in standard position always place the vertex on the (origin) and the intial ray on the (x-axis)

### Standard Position-Same location

If teo angles drawn in standard position end at the same location but are not the same angle then they share a (ray-terminal) and are called (cotermianl) angles

### 2.6 Revolutions

the terminal side of an angle that has 2.6 revolutions will be located in the (III) quadrant

### Central Angle Measure

for a central angle, the degree measure of the angle is (equal to) the degree measure of the arc.

180/π

### One circumference

there are exactly (2π) radii lengths in one circumference of a circle

Θ

Θ-π

Θ+π

Θ-2π

Revolutions/time

### Linear Velocity

speed that a point on the circle is moving in distance/time

### Linear Velocity Equation

LV=AV*CIRCUMFERENCE(2πR)