Chapter 7 Section 1

Figure: A ray or half-line

Figure

Figure: Standard position of an angle

Figure

Figure

Example

Example 1 Solution

Solution b. Figure 7: -90° angle a. Figure 6: 45° angle c. Figure 8: 225° angle d. Figure 9: 405° angle

Convert between Decimal and Degree, Minute, Second Measures for Angles

Example

Solution

Figure: Radians

Find the Length of an Arc of a Circle

Figure:

Theorem

Example

Solution

Convert from Degrees to Radians and from Radians to Degrees

Figure 1 revolution = 2π radians

Example

Solution

Example

Solution

Table: Commonly encountered angles

Figure

Find the Area of a Sector of a Circle

Figure: Sector of a Circle

Figure:

Theorem

Example

Solution

Find the Linear Speed of an Object Traveling in Circular Motion

Definition

Figure:

Definition

Example Figure 17

Solution