1. Arc Length Area of a Sector Unit Circle Trig values of unit circle
Module 6.2
Arc Length
Area of a Sector
Unit Circle
Trig values of unit circle

2. Length of an arc (Degrees)
An arc is part of a circle (part of the circumference)
c=2𝜋𝑟
Arc length = 𝑥° 360° ∙2𝜋𝑟
Examples:

3. Length of an arc (Radians)
Arc length = 𝑟𝑎𝑑𝑖𝑎𝑛𝑠 2𝜋 ∙2𝜋𝑟
Arc Length =𝑟𝑎𝑑𝑖𝑎𝑛𝑠∙𝑟
Example:

4. Area of a sector (Degrees)
A sector a “slice” of a circle (Part of the area)
Area of a circle = 𝜋 𝑟 2
Area of a sector = 𝑥° 360 ∙𝜋 𝑟 2
Example:

5. Area of a sector (Degrees)
Example:

6. Find the values of each sine and cosine
𝑠𝑖𝑛60°
𝑠𝑖𝑛225°
𝑠𝑖𝑛 𝜋 2
𝑠𝑖𝑛 7𝜋 3
𝑐𝑜𝑠135°
𝑐𝑜𝑠630°
𝑐𝑜𝑠 7𝜋 6
𝑐𝑜𝑠 14𝜋 6

7. Find the values of each tangent
𝑡𝑎𝑛 315°
𝑡𝑎𝑛 270°
𝑡𝑎𝑛 5𝜋 6
𝑡𝑎𝑛 9𝜋 4