Module 1: Angles and Their Measure
In this module you will learn how angles are measured in both degrees and radians, and apply these measurements to arc length, sector area, and speed problems.
Your Progress
Learning Objectives
By the end of this module, you will be able to:
- Classify angles by type (acute, right, obtuse, straight, reflex) and by standard position
- Convert between degree and radian measures fluently
- Calculate arc length and area of a sector using radian measure
- Solve problems involving angular and linear speed
- Apply angle measurement to real-world contexts such as wheels, clocks, and navigation
Module Lessons
Degree Measure and Classifying Angles
Learn degree measure, angle types, standard position, coterminal angles, and complementary/supplementary pairs.
25-30 minutes
Radian Measure and Converting Between Degrees and Radians
Understand radians as a ratio, convert between degrees and radians, and work with exact radian values.
30-35 minutes
Arc Length and Area of a Sector
Derive and apply the arc length and sector area formulas using radian measure.
25-30 minutes
Angular and Linear Speed
Relate angular speed to linear speed and solve real-world rotation problems.
25-30 minutes
After the Lessons
Practice Problems
Apply what you have learned with 10 practice problems covering all module topics. Step-by-step solutions included!
Practice ProblemsModule Quiz
Test your understanding with a 10-question quiz covering angles, radians, arc length, and speed.
Take Module QuizStudy Materials
Printable study guides and quick reference cards. Perfect for exam prep!