Chapter 2 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

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

Find the Area of a Sector of a Circle

Figure: Sector of a Circle

Figure:

Theorem

Example

Solution